Peter B. Gilkey

Q: What Schools Are Affiliated With Peter B. Gilkey

Peter B. Gilkey is affiliated with the following schools: University of California, Berkeley, Yale University, Sungkyunkwan University, University of Oregon, Harvard University

Peter B. Gilkey's AcademicInfluence.com Rankings

Peter B. Gilkey

Mathematics

#3593

World Rank

#5279

Historical Rank

#1318

USA Rank

Differential Geometry

#34

World Rank

#41

Historical Rank

#14

USA Rank

Measure Theory

#983

World Rank

#1277

Historical Rank

#366

USA Rank

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Mathematics

Peter B. Gilkey's Degrees

PhD Mathematics University of California, Berkeley

Why Is Peter B. Gilkey Influential?

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According to Wikipedia, Peter Belden Gilkey is an American mathematician, working in differential geometry and global analysis. Gilkey graduated from Yale University with a master 's degree in 1967 and received a doctoral degree in 1972 from the Harvard University under the supervision of Louis Nirenberg . From 1971 to 1972 he was an instructor in computer science at the New York University and from 1972 to 1974 was a lecturer at the University of California, Berkeley. From 1974 to 1980 he was assistant professor at Princeton University, he spent one year at U.S.C., and in 1981 he became associate professor and in 1985 professor at the University of Oregon.

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Peter B. Gilkey's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Invariance Theory Heat Equation and Atiyah Singer Index Theorem (1995) (1463)
Gravitation, Gauge Theories and Differential Geometry (1980) (1379)
The spectral geometry of a Riemannian manifold (1975) (606)
The asymptotics of the Laplacian on a manifold with boundary (1995) (239)
Asymptotic Formulae in Spectral Geometry (2003) (204)
The index theorem and the heat equation (1974) (162)
Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor (2001) (155)
Curvature and the eigenvalues of the Laplacian for elliptic complexes (1973) (130)
The Geometry of Walker Manifolds (2009) (106)
Heat Content Asymptotics of a Riemannian Manifold with Boundary (1994) (105)
Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian (1979) (101)
ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR (1995) (93)
Heat kernel asymptotics with mixed boundary conditions (1999) (87)
The boundary integrand in the formula for the signature and Euler characteristic of a Riemannian manifold with boundary (1975) (83)
A Note on Osserman Lorentzian Manifolds (1997) (81)
The Geometry of Curvature Homogeneous Pseudo-Riemannian Manifolds (2007) (76)
Residues of the eta function for an operator of Dirac type (1992) (71)
Some representations of exceptional Lie algebras (1988) (70)
The geometry of modified Riemannian extensions (2009) (67)
The residue of the global η function at the origin (1981) (62)
On the Index of Geometrical Operators for Riemannian-Manifolds with Boundary (1993) (61)
The Geometry of Spherical Space Form Groups (1989) (59)
The eta invariant for a class of elliptic boundary value problems (1983) (59)
The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology (1997) (51)
Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture (1999) (49)
Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario (2001) (45)
Logarithmic terms in asymptotic expansions of heat operator traces (1998) (44)
The spectral geometry of the higher order Laplacian (1980) (43)
The eta invariant for even dimensional PINc manifolds (1985) (41)
Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary (1997) (40)
Leading terms in the heat invariants (1990) (40)
Manifolds whose curvature operator has constant eigenvalues at the basepoint (1994) (39)
Atiyah–Singer index theorem (2019) (37)
Riemannian manifolds whose skewd-symmetric curvature operator has constant eigenvalues (1999) (37)
Heat content asymptotics for operators of laplace type with Neumann boundary conditions (1994) (36)
The residue of the local eta function at the origin (1979) (35)
The eta invariant and theK-theory of odd dimensional spherical space forms (1984) (35)
Functorality and heat content asymptotics for operators of Laplace type (1993) (34)
Metrics of Positive Scalar Curvature on Spherical Space Forms (1996) (33)
Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds (1973) (32)
Residues of the eta function for an operator of Dirac type with local boundary conditions (1992) (32)
Curvature Tensors Whose Jacobi or Szabó Operator is Nilpotent on Null Vectors (2002) (31)
Heat equation asymptotics of ‘‘nonminimal’’ operators on differential forms (1991) (31)
The twisted index problem for manifolds with boundary (1983) (31)
Heat Flow Out of a Compact Manifold (2013) (30)
Homogeneous affine surfaces: affine Killing vector fields and Gradient Ricci solitons (2015) (29)
The functional determinant of a four-dimensional boundary value problem (1994) (29)
Szabo Osserman IP pseudo-Riemannian manifolds (2002) (28)
Universal curvature identities (2011) (28)
Geometric realizations, curvature decompositions, and Weyl manifolds (2010) (28)
Homogeneity of Lorentzian three‐manifolds with recurrent curvature (2012) (26)
The eta invariant of even order operators (1989) (25)
Heat Content and a Hardy Inequality for Complete Riemannian Manifolds (2004) (25)
The eta invariant and metrics of positive scalar curvature (1995) (25)
Local invariants of an embedded Riemannian manifold (1975) (24)
Heat Content Asymptotics for Riemannian Manifolds with Zaremba Boundary Conditions (2005) (24)
Spectral geometry and the Kaehler condition for complex manifolds (1974) (24)
Invariants of locally conformally flat manifolds (1995) (24)
Pseudo Riemannian manifolds whose generalized Jacobi operator has constant characteristic polynomial (1998) (24)
The eta invariant, ${\rm Pin}^c$ bordism, and equivariant ${\rm Spin}^c$ bordism for cyclic $2$-groups. (1987) (24)
Algebraic curvature tensors which are p-Osserman (2001) (23)
Invariants of the heat equation (1985) (23)
Complete k-Curvature Homogeneous Pseudo-Riemannian Manifolds (2004) (22)
The Jordan normal form of Osserman algebraic curvature tensors (2001) (21)
Invariant metrics of positive Ricci curvature on principal bundles (1998) (21)
Geometric Realizations of Curvature (2009) (20)
Heat asymptotics with spectral boundary conditions (2000) (20)
Heat content asymptotics with singular initial temperature distributions (2008) (19)
Conformally Osserman manifolds and self-duality in Riemannian geometry (2005) (19)
Complete curvature homogeneous pseudo-Riemannian manifolds (2004) (19)
Spacelike Jordan Osserman algebraic curvature tensors in the higher signature setting (2002) (19)
Leading terms in the asymptotics of the heat equation (1987) (19)
ALGEBRAIC CURVATURE TENSORS FOR INDEFINITE METRICS WHOSE SKEW-SYMMETRIC CURVATURE OPERATOR HAS CONSTANT JORDAN NORMAL FORM (2002) (19)
Curvature Homogeneous Pseudo-Riemannian Manifolds which are not Locally Homogeneous (2003) (19)
ON PROPERTIES OF THE ASYMPTOTIC EXPANSION OF THE HEAT TRACE FOR THE N=D PROBLEM (2000) (19)
The heat equation with inhomogeneous Dirichlet boundary conditions (1999) (18)
Smooth invariants of a Riemannian manifold (1978) (18)
On spherical space forms with meta-cyclic fundamental group which are isospectral but not equivariant cobordant (1985) (18)
Heat Trace Asymptotics Defined by Transfer Boundary Conditions (2002) (18)
Curvature homogeneous signature (2,2) manifolds (2004) (18)
Local invariants of a pseudo-Riemannian manifold. (1975) (18)
Spinors, spectral geometry, and Riemannian submersions (1998) (18)
Curvature homogeneous spacelike Jordan Osserman pseudo-Riemannian manifolds (2003) (17)
Strong ellipticity and spectral properties of chiral bag boundary conditions (2003) (17)
Riemannian submersions which preserve the eigenforms of the Laplacian (1996) (17)
The spectral geometry of the Weyl conformal tensor (2003) (16)
Higher-order Jordan Osserman pseudo-Riemannian manifolds (2002) (16)
Homogeneous affine surfaces: Moduli spaces (2016) (16)
CONFORMALLY OSSERMAN MANIFOLDS AND CONFORMALLY COMPLEX SPACE FORMS (2003) (16)
Heat Equation, Proportionality Principle, and Volume of Fundamental Domains (1976) (15)
Universal curvature identities II (2011) (15)
A Comparison Estimate for the Heat Equation with an Application to the Heat Content of the S‐Adic Von Koch Snowflake (1998) (15)
Heat asymptotics with spectral boundary conditions. II (2000) (15)
The spectral geometry of operators of Dirac and Laplace type (2008) (15)
Applications of Affine and Weyl Geometry (2013) (14)
Duality symmetry of the p-form effective action and supertrace of the twisted de Rham complex (2002) (14)
Hardy Inequality and Heat Semigroup Estimates for Riemannian Manifolds with Singular Data (2010) (14)
Topological invariants and absence of an axial anomaly for a Euclidean Taub-NUT (Newman-Unti-Tamburino) metric (1978) (14)
Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2 (2002) (13)
Pseudo-Riemannian Jacobi-Videv Manifolds (2007) (13)
THE STRUCTURE OF ALGEBRAIC COVARIANT DERIVATIVE CURVATURE TENSORS (2004) (13)
Heat content (2008) (13)
Algebraic theory of affine curvature tensors (2006) (12)
Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators (2010) (12)
The Eta Invariant of Pin Manifolds with Cyclic Fundamental Groups (1998) (12)
Geodesic completeness for type A surfaces (2016) (12)
Anti-invariant Riemannian Submersions: A Lie-theoretical Approach (2016) (12)
Spectral geometry of symmetric spaces (1977) (12)
Heat content asymptotics (1999) (11)
CURVATURE STRUCTURE OF SELF-DUAL 4-MANIFOLDS (2008) (11)
Heat Equation Asymptotics of Elliptic Operators with Non-scalar Leading Symbol (1994) (11)
The complex bordism of groups with periodic cohomology (1989) (11)
The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order (2009) (11)
GEOMETRIC REALIZATIONS OF KAEHLER AND OF PARA-KAEHLER CURVATURE MODELS (2009) (11)
Eigenvalues of the form valued Laplacian for Riemannian submersions (1998) (11)
Heat Content Asymptotics with Transmittal and Transmission Boundary Conditions (2002) (11)
Jordan Szabo algebraic covariant derivative curvature tensors (2002) (11)
Analytic continuation, the Chern–Gauss–Bonnet theorem, and the Euler–Lagrange equations in Lovelock theory for indefinite signature metrics (2015) (11)
Geometric realizations of generalized algebraic curvature operators (2008) (11)
Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) (2017) (10)
Heat Content, Heat Trace, and Isospectrality (2008) (10)
Stability Theorems for Chiral Bag Boundary Conditions (2005) (10)
GEOMETRIC REALIZATIONS OF CURVATURE MODELS BY MANIFOLDS WITH CONSTANT SCALAR CURVATURE (2008) (10)
Leading terms in the heat invariants for the Laplacians of the De Rham signature, and spin complexes. (1990) (10)
The spectral geometry of the Hopf fibration (1996) (10)
Generalized plane wave manifolds (2005) (10)
Nilpotent Szabo Osserman and Ivanov-Petrova Pseudo-Riemannian Manifolds (2002) (10)
Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold (2006) (10)
The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons (2014) (10)
Manifolds which are Ivanov-Petrova or k -Stanilov (2003) (9)
Applications of spectral geometry to affine and projective geometry. (1994) (9)
GEOMETRIC PROPERTIES OF THE CURVATURE OPERATOR (2000) (9)
Geometry of differential operators on Weyl manifolds (1997) (9)
The eta invariant and the equivariant spin bordism of spherical space form 2 groups (1996) (9)
Heat kernel coefficients for chiral bag boundary conditions (2005) (9)
Examples of signature (2, 2) manifolds with commuting curvature operators (2007) (8)
Asymptotics of the heat equation with ‘exotic’ boundary conditions or with time dependent coefficients (2001) (8)
Geometric realizations of Hermitian curvature models (2008) (8)
Geometric Realizations of Para-Hermitian Curvature Models (2009) (8)
Universal curvature identities III (2012) (8)
Homothety curvature homogeneity and homothety homogeneity (2014) (8)
Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds (2010) (8)
The heat content asymptotics for variable geometries (1999) (8)
The Eta Invariant and Non-Singular Bilinear Products on R n (1987) (8)
Harmonic spaces (2020) (7)
Manifolds with commuting Jacobi operators (2005) (7)
Manifolds whose higher odd order curvature operators have constant eigenvalues at the basepoint (1992) (7)
A natural linear equation in affine geometry: The affine quasi-Einstein Equation (2017) (7)
Affine curvature homogeneous 3 dimensional Lorentz manifolds (2005) (7)
Heat Content Asymptotics for Oblique Boundary Conditions (2002) (7)
The spectral geometry of the Riemann curvature tensor (2002) (7)
Bundles over projective spaces and algebraic curvature tensors (2001) (7)
Neumann heat content asymptotics with singular initial temperature and singular specific heat (2012) (7)
MANIFOLDS WHOSE SKEW-SYMMETRIC CURVATURE OPERATOR HAS CONSTANT EIGENVALUES (1998) (7)
Kähler and para-Käheler curvature Weyl manifolds (2012) (7)
The Geometry of Locally Symmetric Affine Surfaces (2017) (6)
An inhomogeneous elliptic complex (1993) (6)
Heat trace asymptotics of a time dependent process (2000) (6)
Divergence terms in the supertrace heat asymptotics for the de Rham complex on a manifold with boundary (2002) (6)
FOUR-DIMENSIONAL OSSERMAN METRICS OF NEUTRAL SIGNATURE (2008) (6)
The spectral geometry of the laplacian and the conformal laplacian for manifolds with boundary (1991) (6)
Spinors , Self – Duality , and IP Algebraic Curvature Tensors (1998) (6)
Projectively Osserman manifolds (2007) (6)
The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order (1997) (6)
The moduli space of Type A surfaces with torsion and non-singular symmetric Ricci tensor (2016) (6)
K\"ahler-Weyl manifolds of dimension 4 (2011) (6)
Geometrical Representations of Equiaffine Curvature Operators (2008) (6)
Aspects of Differential Geometry I (2015) (6)
Heat Content Asymptotics for Operators of Laplace Type with Spectral Boundary Conditions (2003) (6)
K-theory for spherical space forms (1987) (6)
Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds (2013) (6)
Eigenforms of the Laplacian for Riemannian V-submersions (2003) (6)
Heat equation asymptotics of a generalized Ahlfors Laplacian on a manifold with boundary (1992) (5)
The Geometry of the Skew-Symmetric Curvature Operator in the Complex Setting (2002) (5)
THE LOCAL INDEX FORMULA FOR A HERMITIAN MANIFOLD (1997) (5)
Growth of heat trace and heat content asymptotic coefficients (2011) (5)
(para)-Kähler Weyl Structures (2012) (5)
Heat invariants for odd-dimensional hemispheres (1996) (5)
Half conformally flat generalized quasi-Einstein manifolds (2017) (5)
Generalized osserman manifolds (1998) (5)
Pseudo-riemannian manifolds with commuting jacobi operators (2006) (5)
Jacobi--Tsankov manifolds which are not 2-step nilpotent (2006) (5)
Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds. (2006) (5)
Geometric Realizations of Affine Kähler Curvature Models (2010) (5)
Affine Killing complete and geodesically complete homogeneous affine surfaces (2018) (5)
Harmonic Spaces and Density Functions (2020) (5)
Heat content asymptotics with singular data (2012) (5)
Applications of PDEs to the study of affine surface geometry (2018) (5)
Geometric Theory of Equiaffine Curvature Tensors (2009) (5)
The Eta Invariant and Equivariant Spin C Bordism for Spherical Space form Groups (1988) (5)
The global geometry of Riemannian manifolds with commuting curvature operators (2006) (5)
Aspects of Differential Geometry II (2015) (4)
Heat trace asymptotics with singular weight functions (2008) (4)
Pin c Cobordism and Equivariant Spin c Cobordism of Cyclic 2-Groups (1987) (4)
Affine Surfaces Which are Kähler, Para-Kähler, or Nilpotent Kähler (2018) (4)
Positive scalar curvature (2018) (4)
The heat content asymptotics of a time-dependent process (2000) (4)
Curvature and the heat equation for the de Rham complex (1981) (4)
Nilpotent Spacelike Jorden Osserman pseudo-Riemannian manifolds (2003) (4)
Erratum: “Vacuum expectation value asymptotics for second-order differential operators on manifolds with boundary” [J. Math. Phys. 39, 1040 (1998)] (2000) (4)
The eta invariant and $$\tilde K$$ O of lens spaces (1987) (4)
Aspects of Differential Geometry III (2017) (4)
Homothety Curvature Homogeneity (2013) (4)
Puffini-Videv Models and Manifolds (2006) (4)
Curvature Properties of Weyl Geometries (2010) (4)
The local index density of the perturbed de Rham complex (2020) (3)
The Jordan normal form of higher order Osserman algebraic curvature tensors (2002) (3)
On distinguished local coordinates for locally homogeneous affine surfaces (2019) (3)
Affine projective Osserman structures (2013) (3)
The Gromov-Lawson-Rosenberg conjecture: when do manifolds admit metrics of positive scalar curvature (1997) (3)
The eigenforms of the complex Laplacian for a Hermitian submersion (1999) (3)
Kaehler and para-Kaehler curvature Weyl manifolds (2010) (3)
Heat Content with Singular Initial Temperature and Singular Specific Heat (2014) (3)
The spectral geometry of the canonical Riemannian submersion of a compact Lie Group (2006) (3)
Heat Content Asymptotics with Inhomogeneous Neumann and Dirichlet Boundary Conditions (2001) (3)
Correction to spectral geometry and the Kaehler condition for complex manifolds (1975) (3)
K-theory (1986) (3)
Homogeneous 4-Dimensional Kähler–Weyl Structures (2012) (3)
Harmonic radial vector fields on harmonic spaces (2020) (3)
Moduli spaces of type $$\mathcal {B}$$B surfaces with torsion (2016) (3)
THE STRUCTURE OF THE SPACE OF AFFINE KÄHLER CURVATURE TENSORS AS A COMPLEX MODULE (2011) (3)
Curvature and the eigenvalues of the dolbeault complex for hermitian manifolds (1976) (3)
Complex IP pseudo-Riemannian algebraic curvature tensors (2002) (3)
Transplanting geometrical structures (2013) (3)
The Eta Invariant and the Connective K-Theory of the Classifying Space for Cyclic 2 Groups (1999) (3)
The affine quasi-Einstein Equation for homogeneous surfaces (2017) (2)
Constructing Bach flat manifolds of signature (2, 2) using the modified Riemannian extension (2018) (2)
The classification of simple Jacobi--Ricci commuting algebraic curvature tensors (2007) (2)
The Functional Determinant In The Standard Conformal Class On Four Dimensional Balls And Spherical S (1996) (2)
Aspects of Differential Geometry IV (2019) (2)
Pontrjagin forms, Chern Simons classes, Codazzi transformations, and affine hypersurfaces (1998) (2)
HEAT CONTENT ASYMPTOTICS OF AN INHOMOGENEOUS TIME-DEPENDENT PROCESSES (2000) (2)
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics (1999) (2)
Jacobi–Jacobi Commuting Models and Manifolds (2009) (2)
Heat content asymptotics for spectral boundary conditions (2002) (2)
Heat content asymptotics of non-minimal operators (1994) (2)
THE GEOMETRICAL INDEX THEOREM FOR CLIFFORD MODULES (1989) (2)
An analytic computation of $ko_{4v-1}(BQ_8)$ (1995) (2)
The Eta Invariant, Equivariant Spin Bordism and Metrics of Positive Scalar Curvature (1995) (2)
Expected Volume of Intersection of Pinned Wiener Sausages and Heat Kernel Norms on Compact Riemannian Manifolds with Boundary (2006) (2)
Complete k-curvature homogeneous pseudo-Riemannian manifolds 0-modeled on an indecomposible symmetric space (2005) (2)
K theory and cohomology (1989) (2)
Supertrace Divergence Terms for the Witten Laplacian (2002) (2)
Heat trace asymptotics and the Gauss–Bonnet theorem for general connections (2012) (2)
Eta invariants with spectral boundary conditions (2004) (2)
Growth of heat trace coefficients for locally symmetric spaces (2011) (2)
Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators (2008) (2)
Series with Hermite polynomials and applications (2012) (2)
Correction to: The spectral geometry of the higher order Laplacian, Vol. 47 (1980), 511–528. (1981) (2)
4-dimensional (para)-Kähler-Weyl structures (2012) (2)
Algebraic Curvature Tensors (2001) (2)
The Witten deformation of the Dolbeault complex (2020) (1)
Compact Osserman Manifolds with Neutral Metric (2010) (1)
The Curvature Tensor (2007) (1)
MODULI SPACES OF ORIENTED TYPE ${\mathcal{A}}$ MANIFOLDS OF DIMENSION AT LEAST 3 (2017) (1)
Advanced Problems: 6006-6011 (1975) (1)
Osserman Algebraic Curvature Tensors (2002) (1)
RICCI BLOWUP , THE OSSERMAN AND THE CONFORMAL OSSERMAN CONDITION FOR WALKER SIGNATURE (2006) (1)
Symmetric affine surfaces with torsion (2019) (1)
Eigenforms of the spin Laplacian and projectable spinors for principal bundles (1998) (1)
The eta invariant, manifolds of positive scalar curvature, and equivariant bordism (1997) (1)
Complex Riemannian Geometry (2012) (1)
Mathematics, Recursion, and Universals in Human Languages (2009) (1)
Heat Flow from Polygons (2019) (1)
Non-closed curves in ℝn with finite total first curvature arising from the solutions of an ODE (2017) (1)
Moduli spaces of oriented Type A manifolds of dimension at least 3 (2016) (1)
The affine quasi-Einstein Equation for homogeneous surfaces (2017) (1)
Derived heat trace asymptotics for the de Rham and Dolbeault complexes. (2020) (1)
A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation (2014) (1)
When the Leading Terms in the Heat Equation Asymptotics Are Coercive (1995) (1)
A higher order invariant of differential manifolds (1989) (1)
Applications of model theory to the study of ‘soft’ universals in language (2017) (1)
^{} cobordism and equivariant ^{} cobordism of cyclic 2-groups (1987) (1)
Volume density asymptotics of central harmonic spaces (2022) (1)
Applications of spectral geometry to geometry and topology (1993) (1)
Anti-invariant Riemannian Submersions (2015) (1)
Affine Killing vector fields on homogeneous surfaces with torsion (2019) (1)
Moduli spaces of type B surfaces with torsion (2016) (1)
Connections, Curvature, and Differential Geometry (2012) (0)
Heat Flow Out of a Compact Manifold (2014) (0)
Heat Flow from Polygons (2019) (0)
Neumann heat content asymptotics with singular initial temperature and singular specific heat (2013) (0)
Complex Osserman Kähler manifolds in dimension four (2013) (0)
The Atiyah–Singer Index Theorem* *Research partially supported by the NSF (USA) and MPIM (Germany). (2000) (0)
Complex Osserman Kaehler Manifolds (2010) (0)
The Residue of the Global r / Function at the Origin (2005) (0)
derivative curvature tensors (2002) (0)
Heat Trace Asymptotics (2003) (0)
A NOTE ON THE EIGENFUNCTIONS OF THE LAPLACIAN FOR A TWISTED HOLOMORPHIC PRODUCT (1997) (0)
Real Affine Geometry (2012) (0)
Asymptoti s of the Heat Equation with ` Exoti ' Boundary Conditions orwith Time Dependent (2009) (0)
Spaces of locally homogeneous affine surfaces (2019) (0)
(para)-K\"ahler Weyl structures (2012) (0)
Curvature Homogeneous Generalized Plane Wave Manifolds (2007) (0)
The Eta Invariant and the Real Connective K-Theory of the Classifying Space for Quaternion Groups (2002) (0)
Other Pseudo-Riemannian Manifolds (2007) (0)
Harmonic Spaces and Density Functions (2020) (0)
Stanilov—Tsankov Theory (2007) (0)
A ug 2 00 7 STANILOV – TSANKOV – VIDEV THEORY (0)
Projective affine Osserman curvature models (2014) (0)
Mathematik in den Naturwissenschaften Leipzig Heat asymptotics with spectral boundary conditions II by (2003) (0)
Mathematik in den Naturwissenschaften Leipzig Heat content asymptotics for spectral boundary conditions (2003) (0)
Homogeneous 4-Dimensional Kähler–Weyl Structures (2013) (0)
Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds (2005) (0)
The Skew-Symmetric Curvature Operator (2001) (0)
Affine Surfaces Which are Kähler, Para-Kähler, or Nilpotent Kähler (2018) (0)
Controlling the Eigenvalue Structure (2001) (0)
ASYMPTOTIC EXPANSIONS IN SPECTRAL GEOMETRY (1994) (0)
Complex Osserman Algebraic Curvature Tensors (2007) (0)
The local index density of the perturbed de Rham complex (2021) (0)
Maximal Domains of Radial Harmonic Functions (2022) (0)
Mathematik in den Naturwissenschaften Leipzig Duality symmetry of the p-form effective action and super trace of the twisted de Rham complex by (2003) (0)
The Spectral Geometry of the Riemann Curvature Operator in the Higher Signature Setting (2003) (0)
transmittal and transmission boundary conditions (2002) (0)
${\rm Pin}\sp c$ cobordism and equivariant ${\rm Spin}\sp c$ cobordism of cyclic $2$-groups (1987) (0)
Centrally harmonic spaces (2021) (0)
Relating the second and fourth order terms in the asymptotic expansion of the heat equation (1997) (0)
The Jacobi Operator (2001) (0)
Half conformally flat generalized quasi-Einstein manifolds of metric signature $\left( 2,2\right)$ (2018) (0)
Asymptoti s of the Heat Equation with ` Exoti ' Boundary Conditions orwith Time Dependent (2009) (0)
Homothety curvature homogeneity and homothety homogeneity (2015) (0)
ROSENBERG CONJECTURE FOR GROUPS WITH PERIODIC COHOMOLOGY BORIS BOTVINNIK (2003) (0)
Heat Content with Singular Initial Temperature and Singular Specific Heat (2014) (0)
Almost Zoll Affine Surfaces (2021) (0)
Curves in R^n with finite total first curvature arising from the solutions of an ODE (2013) (0)
Partial differential operators (1989) (0)
Eigenvalues of the Laplacian for sphere bundles (1995) (0)
properties of chiral bag boundary conditions (2003) (0)
Aspects of Differential Geometry V (2021) (0)
Asymptotics of Laplacians defined by Symmetric Connections (1991) (0)
A ug 2 01 9 Heat flow from polygons (2019) (0)
The Geometry of the Riemann Curvature Tensor (2007) (0)
Real analytic complete non-compact surfaces in Euclidean space with finite total curvature arising as solutions to ODEs (2014) (0)
A P ] 2 2 Ju l 2 01 9 Heat flow from polygons (2019) (0)
Geometric Realizability of Covariant Derivative K (2010) (0)
Introduction and Statement of Results (2012) (0)
GROWTH OF HEAT TRACE AND HEAT CONTENT (2011) (0)
Complex IP curvature tensors (2002) (0)
Quasi-Einstein Manifolds (2017) (0)
An analytic computation of the additive structure of MU (BZ4) (1989) (0)
EQUIVARIANT DERIVED CATEGORIES OF HYPERSURFACES ASSOCIATED TO A SUM OF POTENTIALS by BRONSON LIM A DISSERTATION (2017) (0)
All Russian mathematical portal (2019) (0)
THE SPECTRAL GEOMETRY OF SYMMETRIC SPACESÍ 1 ) (2010) (0)
Heat content, torsional rigidity and generalized Hardy inequalities for complete Riemannian manifolds (2003) (0)
Heat Trace Asymptotics with Singular Weight Functions II (2010) (0)
Projective affine Osserman curvature models (2014) (0)
Mathematik in den Naturwissenschaften Leipzig Algebraic theory of affine curvature tensors (2006) (0)
Affine Kähler Geometry (2012) (0)
Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators (2011) (0)
The moments of certain complex potentials (1986) (0)
The eta invariant and the equivariant unitary bordism of spherical space form groups (2019) (0)
Chapter 5 - The Atiyah–Singer Index Theorem* (2000) (0)
Complex Osserman algebraic curvature tensors and Clifford families (2006) (0)
The Geometry of Locally Symmetric Affine Surfaces (2018) (0)
Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds (2011) (0)
On distinguished local coordinates for locally homogeneous affine surfaces (2020) (0)
Geodesic Completeness and the Quasi-Einstein Equation for Locally Homogeneous Affine Surfaces (2019) (0)
An almost Zoll affine surface (2020) (0)
Spectral geometry, homogeneous spaces and differential forms with finite Fourier series (2007) (0)
Projective affine Ossermann curvature models (2014) (0)

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