Peter W. Michor

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Peter W. Michor is affiliated with the following schools: University of Innsbruck, University of Vienna

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Peter W. Michor

Mathematics

#6912

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#9487

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Differential Geometry

#68

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#81

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Geometry

#144

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#215

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Measure Theory

#1717

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#2110

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Mathematics

Peter W. Michor's Degrees

PhD Mathematics University of Vienna

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Peter W. Michor's Published Works

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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

Natural operations in differential geometry (1993) (1327)
The Convenient Setting of Global Analysis (1997) (1280)
Riemannian Geometries on Spaces of Plane Curves (2003) (418)
Manifolds of differentiable mappings (1980) (298)
A Metric on Shape Space with Explicit Geodesics (2007) (241)
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach (2006) (239)
Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms (2004) (203)
Connections on central bimodules in noncommutative differential geometry (1995) (154)
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups (2013) (154)
DERIVATIONS ET CALCUL DIFFERENTIEL NON COMMUTATIF. II (1988) (146)
Mathematics unlimited-2001 and Beyond (2005) (133)
Topics in Differential Geometry (2008) (120)
Sobolev metrics on shape space of surfaces (2010) (118)
THE RIEMANNIAN MANIFOLD OF ALL RIEMANNIAN METRICS (1992) (116)
Choosing roots of polynomials smoothly (1998) (88)
Natural Operations in Di erential Geometry Springer-Verlag (1993) (78)
n-ary Lie and Associative Algebras (1998) (77)
Constructing reparametrization invariant metrics on spaces of plane curves (2012) (76)
Dérivations Et Calcul Différentiel Non Commutatif Ii Dérivations and Noncommutative Differential Calculus Ii (2008) (72)
Uniqueness of the Fisher–Rao metric on the space of smooth densities (2014) (69)
Banach modules and functors on categories of Banach spaces (1979) (69)
The convenient setting for real analytic mappings (1990) (67)
NATURAL TRANSFORMATIONS IN DIFFERENTIAL GEOMETRY (1987) (64)
The Riemannian geometry of orbit spaces -- the metric, geodesics, and integrable systems (2001) (61)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
Almost Local Metrics on Shape Space of Hypersurfaces in n-Space (2010) (57)
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation (2011) (57)
The action of the diffeomorphism group on the space of immersions (1991) (57)
GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES (2013) (56)
REGULAR INFINITE DIMENSIONAL LIE GROUPS (1998) (56)
On Euler's equation and `EPDiff' (2012) (54)
The convenient setting for non-quasianalytic Denjoy–Carleman differentiable mappings☆ (2008) (54)
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group (2011) (53)
Some Geometric Evolution Equations Arising as Geodesic Equations on Groups of Diffeomorphisms Including the Hamiltonian Approach (2006) (53)
The multigraded Nijenhuis-Richardson algebra, its universal property and applications (1992) (51)
Gauge Theory for Fiber Bundles (1991) (48)
Smooth *-algebras (2001) (48)
Extensions of Lie algebras (2000) (47)
Bounds on the Multiplicity of Eigenvalues for Fixed Membranes (1998) (46)
Geometry of the Virasoro-Bott group (1998) (45)
POISSON STRUCTURES ON THE COTANGENT BUNDLE OF A LIE GROUP OR A PRINCIPLE BUNDLE AND THEIR REDUCTIONS (1993) (43)
Extensions of super Lie algebras (2001) (43)
Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds (2012) (42)
Knit products of graded Lie algebras and groups (1992) (41)
Remarks on the Schouten-Nijenhuis bracket (1987) (40)
A zoo of diffeomorphism groups on R n (2013) (39)
Differentiable perturbation of unbounded operators (2002) (37)
Sobolev Metrics on Shape Space, II: Weighted Sobolev Metrics and Almost Local Metrics (2011) (36)
Differential geometry of Cartan connections (1994) (35)
POISSON STRUCTURES ON DOUBLE LIE GROUPS (1998) (35)
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II (2012) (34)
Why Use Sobolev Metrics on the Space of Curves (2015) (33)
Aspects of the theory of infinite dimensional manifolds (1991) (33)
Sectional Curvature in Terms of the Cometric, with Applications to the Riemannian Manifolds of Landmarks (2010) (33)
Manifolds of smooth maps (1978) (32)
Isometric Actions of Lie Groups and Invariants (2000) (32)
Basic differential forms for actions of Lie groups. II (1994) (32)
Homology and modular classes of Lie algebroids (2003) (32)
Differential geometry of g-manifolds (1995) (32)
Remarks on the Fr?olicher-Nijenhuis bracket (1986) (29)
Sobolev metrics on the manifold of all Riemannian metrics (2011) (29)
A convenient setting for differential geometry and global analysis II (1984) (28)
ON THE CURVATURE OF A CERTAIN RIEMANNIAN SPACE OF MATRICES (1999) (28)
Denjoy–Carleman Differentiable Perturbation of Polynomials and Unbounded Operators (2009) (28)
Lifting smooth curves over invariants for representations of compact Lie groups (1998) (28)
Riemannian geometries on the space of plane curves (2003) (28)
The Lie group of automorphisms of a principle bundle (1989) (26)
Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold (1980) (24)
A common generalization of the Frölicher-Nijenhuis bracket and the Schouten bracket for symmetric multivector fields (1995) (24)
Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line (2012) (24)
The convenient setting for Denjoy–Carleman differentiable mappings of Beurling and Roumieu type (2011) (22)
A Note on n-ary Poisson Brackets (1999) (22)
C∞-algebras from the functional analytic view point (1987) (22)
A ZOO OF DIFFEOMORPHISM GROUPS ON R (2012) (22)
A generalization of Hamiltonian mechanics (1985) (22)
A zoo of diffeomorphism groups on $$\mathbb{R }^{n}$$Rn (2012) (22)
$R$-transforms for Sobolev $H^2$-metrics on spaces of plane curves (2013) (21)
Reflection groups on Riemannian manifolds (2003) (21)
$n$-transitivity of certain diffeomorphism groups (1994) (21)
Functors and categories of Banach spaces (1978) (21)
Choosing roots of polynomials smoothly, II (2002) (20)
Manifolds of smooth mappings IV: Theorem of De Rham (1983) (20)
An exotic zoo of diffeomorphism groups on R n (2015) (19)
Smoothness of the action of the gauge transformation group on connections (1986) (19)
Gauge Theory for Diffeomorphism Groups (1988) (19)
CONSTRUCTION OF COMPLETELY INTEGRABLE SYSTEMS BY POISSON MAPPINGS (1999) (19)
A 2-Cocycle on a Symplectomorphism Group (2006) (19)
Curvature weighted metrics on shape space of hypersurfaces in n-space ☆ (2011) (18)
Characters on algebras of smooth functions (1989) (18)
Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold (1980) (18)
On the fiber product preserving bundle functors (1999) (17)
MORE ON THE FR OLICHER-NIJENHUIS BRACKET IN NON COMMUTATIVE DIFFERENTIAL GEOMETRY (1992) (17)
The Generalized Cayley Map from an Algebraic Group to its Lie Algebra (2001) (16)
PSEUDORIEMANNIAN METRICS ON SPACES OF BILINEAR STRUCTURES (1992) (16)
A 2-Cocycle on a Group of Symplectomorphisms (2004) (15)
Manifolds of Mappings for Continuum Mechanics (2019) (15)
The Lagrangian Radon Transform and the Weil Representation (2012) (14)
Commutators of flows and fields (1992) (14)
On polarizations in invariant theory (2005) (14)
Tensor fields and connections on holomorphic orbit spaces of finite groups (2002) (14)
The moment mapping for unitary representations (1990) (14)
Sobolev metrics on shape space of surfaces in n-space (2010) (13)
Graded derivations of the algebra of differential forms associated with a connection (1992) (13)
Product preserving functors of infinite-dimensional manifolds (1996) (13)
The exponential law for spaces of test functions and diffeomorphism groups (2014) (12)
DESCRIPTION OF INFINITE DIMENSIONAL ABELIAN REGULAR LIE GROUPS (1998) (12)
Some Remarks on the Plücker Relations (1999) (12)
The Jacobi flow (1996) (11)
Riemannian geometry of the space of volume preserving immersions (2016) (11)
An exotic zoo of diffeomorphism groups on $$\mathbb {R}^n$$Rn (2014) (10)
Fractional Sobolev metrics on spaces of immersions (2019) (10)
Invariant Tensor Fields and Orbit Varieties for Finite Algebraic Transformation Groups (2002) (9)
Completing Lie algebra actions to Lie group actions (2003) (8)
More on the Frlicher-Nijenhuis bracket in noncommutative differential geometry (1997) (8)
Many parameter Hölder perturbation of unbounded operators (2006) (8)
Closed surfaces with different shapes that are indistinguishable by the SRNF (2019) (8)
Geometry of the Fisher–Rao metric on the space of smooth densities on a compact manifold (2016) (8)
Completely integrable systems: a generalization (1999) (8)
CHARACTERIZING ALGEBRAS OF SMOOTH FUNCTIONS ON MANIFOLDS (1994) (8)
The Homotopy Type of the Space of Degree 0 — Immersed Plane Curves (2005) (7)
More smoothly real compact spaces (1992) (7)
A quantum-group-like structure on noncommutative 2-tori (1992) (7)
Geodesics on spaces of almost hermitian structures (1992) (7)
Moser’s theorem on manifolds with corners (2016) (7)
LIFTING MAPPINGS OVER INVARIANTS OF FINITE GROUPS (2003) (7)
Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces (1978) (6)
Smooth Perturbations of the Functional Calculus and Applications to Riemannian Geometry on Spaces of Metrics (2018) (6)
Gauge theory for the diffeomorphism group (1987) (6)
A generalization of Puiseux’s theorem and lifting curves over invariants (2009) (6)
The Fr\"olicher-Nijenhuis bracket for derivation based non commutative differential forms (1994) (6)
The Frolicher-Nijenhuis bracket for derivation based noncommutative differential forms (1994) (6)
Manifolds and Lie Groups (1993) (6)
Characteristic classes for G-structures☆ (1992) (6)
The KdV-equation has vanishing geodesic distance (2011) (5)
Many parameter Lipschitz perturbation of unbounded operators (2006) (5)
Non-singular space-times with a negative cosmological constant: V. Boson stars (2017) (5)
The flow completion of a manifold with vector field (2000) (5)
THE CURVATURE OF THE BOGOLIUBOV-KUBO-MORI SCALAR PRODUCT ON MATRICES (2008) (5)
Manifolds of mappings and shapes (2015) (5)
Duality of functors (1978) (4)
75 years of Radon transform : proceedings of the conference held at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna, August 31-September 4, 1992 (1994) (4)
The relation between systems and associated bundles (1992) (4)
Infinite dimensional manifolds (1997) (4)
SMOOTH AND CONTINUOUS HOMOTOPIES INTO CONVENIENT MANIFOLDS AGREE (2008) (4)
Leray in edelbach (2005) (4)
The moment mapping for a unitary representation (1992) (4)
Sobolev metrics on spaces of manifold valued curves (2020) (4)
THE FLOW COMPLETION OF THE BURGERS EQUATION (2004) (4)
A connection between Lie algebras and general algebras (1989) (3)
THE CONVENIENT SETTING FOR (2012) (3)
A cohomology for vector valued differential forms (1992) (3)
Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.] (2011) (3)
No slices on the space of generalized connections (1998) (3)
A convenient setting for di erential geometry and global analysis I (1984) (3)
Characterizing algebras of C ∞ -functions on manifolds (1996) (3)
From Geometry to Quantum Mechanics (2007) (3)
Duality of compactological and locally compact groups (1976) (3)
Curvature of the Virasoro-Bott group (1998) (3)
Rolling of Coxeter Polyhedra Along Mirrors (2009) (3)
THE EXPONENTIAL LAW FOR EXOTIC SPACES OF TEST FUNCTIONS AND DIFFEOMORPHISM GROUPS (2014) (3)
Geometry of Sample Spaces. (2020) (2)
IN NON COMMUTATIVE DIFFERENTIAL GEOMETRY (1993) (2)
A common generalization of the Fr\"olicher-Nijenhuis bracket and the Schouten bracket for symmetry multi vector fields (1994) (2)
Extensions for a group of diffeomorphisms of a manifold preserving an exact 2-form (2004) (2)
Manifolds of differentiable maps (2010) (2)
The manifold of embeddings of a non-compact manifold (1981) (1)
All unitary representations admit moment mappings (1992) (1)
A note on the inverse mapping theorem of F. Berquier (1976) (1)
Manifolds and vector fields (2008) (1)
Differential geometry of $\frak g$-manifolds (1993) (1)
Duality for contravariant functors on Banach spaces (1976) (1)
COHOMOLOGY FOR A GROUP OF DIFFEOMORPHISMS OF A MANIFOLD PRESERVING AN EXACT FORM (2006) (1)
Regularity and completeness of half-Lie groups (2023) (1)
FA ] 4 A pr 2 00 2 DIFFERENTIABLE PERTURBATION OF UNBOUNDED OPERATORS (2003) (1)
POLARIZATIONS IN CLASSICAL INVARIANT THEORY (2002) (1)
Tensor products and operator ideals (1978) (1)
Applications of Hamilton's Inverse Function Theorem to Manifolds of Mappings (1)
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group (2012) (1)
Vanishing of geodesic distance for right invariant Sobolev metrics $H^s$ on diffeomorphism groups for $0\le s<\tfrac12$ (2011) (1)
Derivations and noncommutative differential calculus II (1994) (1)
Characterizing algebras of $C^\infty $-functions on manifolds (1996) (1)
Calculus of smooth mappings (1997) (1)
Bundle Functors on Manifolds (1993) (1)
Infinite dimensional differential geometry (1997) (0)
OLICHER SPACES AS A SETTING FOR TREE SPACES AND STRATIFIED SPACES (2014) (0)
The convenient setting for Denjoy–Carleman differentiable mappings of Beurling and Roumieu type (2015) (0)
Programme on “ Infinite-dimensional Riemannian geometry with applications to image matching and shape analysis (2015) (0)
Math in the Cabin - Shape Analysis Workshop in Bad Gastein (2014) (0)
Lie groups and group actions (2008) (0)
A generalization of Puiseux’s theorem and lifting curves over invariants (2011) (0)
Non-singular space-times with a negative cosmological constant: V. Boson stars (2018) (0)
0 Ju n 19 99 Completely integrable systems : a generalization (1999) (0)
Q A ] 1 3 Ju l 2 00 1 SMOOTH ∗-ALGEBRAS (2008) (0)
Some remarks on the Pluecker relations (1999) (0)
The Lagrangian Radon Transform and the Weil Representation (2014) (0)
Institute for Mathematical Physics Some Remarks on the Pl Ucker Relations (2009) (0)
Partitions of unity (1997) (0)
Smoothly realcompact spaces (1997) (0)
Finite Order Theorems (1993) (0)
Institute for Mathematical Physics a Note on N{ary Poisson Brackets (2009) (0)
D G ] 2 0 Fe b 20 01 THE RIEMANNIAN GEOMETRY OF ORBIT SPACES . THE METRIC , GEODESICS , AND INTEGRABLE SYSTEMS (2001) (0)
Product Preserving Functors (1993) (0)
John Forbes Nash Jr. 1928–2015 (2015) (0)
2 0 Ju l 2 00 9 ROLLING OF COXETER POLYHEDRA ALONG MIRRORS (2009) (0)
Manifolds of mappings (1997) (0)
The Flow Completion ofa Manifold with Ve tor (2009) (0)
The Flow Completion of the Burgers EquationBoris (2009) (0)
SOBOLEV METRICS ON SHAPE SPACE OF HYPERSURFACES IN N-SPACE (2010) (0)
Methods for Finding Natural Operators (1993) (0)
All Russian mathematical portal (2018) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Connections on Central Bimodules Connections on Central Bimodules (2009) (0)
Overview of the Geometries of Shape Spaces and Diffeomorphism Groups (2014) (0)
Jets and Natural Bundles (1993) (0)
Soliton solutions for the elastic metric on spaces of curves (2017) (0)
The Electronic Library of Mathematics Mathematical Monographs (1993) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Connections on Central Bimodules Connections on Central Bimodules (2009) (0)
Infinite dimensional differential geometry is my true love (2013) (0)
Computable bifunctors and minimal operator ideals (1978) (0)
The projective (p,r,s)-tensor product (1978) (0)
Complete functors and maximal operator ideals (1978) (0)
MANIFOLD WITH VECTOR FIELD (2008) (0)
Calculus on infinite dimensional manifolds (1997) (0)
ITS UNIVERSAL PROPERTY AND APPLICATIONS (1991) (0)
LIE THEORY AND APPLICATIONS. III (2008) (0)
LIE THEORY AND APPLICATIONS. III (2008) (0)
J an 1 99 8 POISSON STRUCTURES ON DOUBLE LIE GROUPS (1998) (0)
Prolongation of Vector Fields and Connections (1993) (0)
Many parameter Hölder perturbation of unbounded operators (2011) (0)
PSEUDORIEMANNIAN METRICS ON SPACES OF ALMOST HERMITIAN STRUCTURES (2001) (0)
Differential Geometry. — a Metric on Shape Space with Explicit Geodesics, By (2008) (0)
Symplectic and Poisson geometry (2008) (0)
Buchbesprechung/Book Reviews (1991) (0)
Some Remarks on the Pl Ucker Relations (2007) (0)
Homology and Modular Classes of Lie AlgebroidsJanusz GrabowskiGiuseppe (2009) (0)
Bundles and Connections (1993) (0)
POISSON STRUCTURES ON DOUBLE LIE GROUPSD (1997) (0)
General Theory of Lie Derivatives (1993) (0)
Differential forms and de Rham cohomology (2008) (0)
Institute for Mathematical Physics Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups Lifting Smooth Curves over Invariants for Representations of Compact Lie Groups (2009) (0)
Calculus of holomorphic and real analytic mappings (1997) (0)
Isometric group actions or Riemann -manifolds (2008) (0)
Orbifold-like and proper $\mathfrak g$-manifolds (2022) (0)
A generalization of HamDtonian mechanics (1985) (0)
D G ] 2 6 Fe b 20 04 EXTENSIONS OF LIE ALGEBRAS (2008) (0)
Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II (2013) (0)
Smooth Multiparameter Perturbation of Polynomials and Operators (2007) (0)
Homogeneous Sobolev Metric of Order One on Diffeomorphism Groups on Real Line (2014) (0)
FRACTIONAL ORDER SOBOLEV METRICS ON THE DIFFEOMORPHISM GROUP (2012) (0)
Fractional Sobolev metrics on spaces of immersions (2020) (0)
Towards the Chern-Weil homomormism in non-commutative differential geometry (1992) (0)
Institute for Mathematical Physics Smooth * –algebras (2001) (0)
Gauge Natural Bundles and Operators (1993) (0)
THE CONVENIENT SETTING FOR QUASIANALYTIC (2011) (0)
DIFFERENTIAL GEOMETRY AND LIE GROUPS APPLICATION FOR “INITIATIVKOLLEG DER UNIVERSITÄT WIEN” (2005) (0)
OF ALL RIEMANNIAN METRICS (1991) (0)
2 2 M ay 2 00 5 VANISHING GEODESIC DISTANCE ON SPACES OFSUBMANIFOLDS AND DIFFEOMORPHISMS (2008) (0)
MOMENTUM MAPPINGS (2007) (0)
Math in the Black Forest: Workshop on New Directions in Shape Analysis (2018) (0)
MOMENTUM MAPPINGS (2007) (0)
PROJECT APPLICATION: LIE THEORY AND APPLICATIONS (2002) (0)
Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation (2011) (0)
Radon transform and curvature (1992) (0)
PROJECT APPLICATION: LIE THEORY AND APPLICATIONS (2002) (0)
Extensions and liftings of mappings (1997) (0)

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Peter W. Michor's Published Works

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Other Resources About Peter W. Michor

What Schools Are Affiliated With Peter W. Michor?

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