A. Rod Gover
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Mathematics
A. Rod Gover's Degrees
- PhD Mathematics University of Auckland
- Bachelors Mathematics University of Auckland
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Why Is A. Rod Gover Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ashwin Rod Gover is a New Zealand mathematician and a Fellow of the Royal Society of New Zealand. He is currently employed as a Professor of Pure Mathematics at the University of Auckland in New Zealand. He is the PhD students' Adviser for the Department of Mathematics and is the head of the Analysis, Geometry and Topology Research Group at the University of Auckland.
A. Rod Gover'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
- Thomas's Structure Bundle for Conformal, Projective and Related Structures (1994) (353)
- Conformally Invariant Powers of the Laplacian, Q-Curvature, and Tractor Calculus (2002) (214)
- Conformally invariant powers of the Laplacian — A complete nonexistence theorem (2003) (187)
- Tractor calculi for parabolic geometries (2001) (184)
- Standard Tractors and the Conformal Ambient Metric Construction (2002) (125)
- Laplacian Operators and Q-curvature on Conformally Einstein Manifolds (2005) (114)
- CR invariant powers of the sub-Laplacian (2003) (109)
- Obstructions to conformally Einstein metrics in n dimensions (2004) (103)
- Almost Einstein and Poincare-Einstein manifolds in Riemannian signature (2008) (79)
- Invariant Theory and Calculus for Conformal Geometries (2001) (76)
- Conformally Invariant Operators, Differential Forms, Cohomology and a Generalisation of Q-Curvature (2003) (74)
- An introduction to conformal geometry and tractor calculus, with a view to applications in general relativity (2014) (69)
- TRACTOR BUNDLES FOR IRREDUCIBLE PARABOLIC GEOMETRIES (2000) (63)
- Tractors, mass, and Weyl invariance (2008) (63)
- Holonomy reductions of Cartan geometries and curved orbit decompositions (2011) (57)
- Boundary calculus for conformally compact manifolds (2011) (52)
- The ambient obstruction tensor and the conformal deformation complex (2004) (52)
- Weyl Invariance and the Origins of Mass (2008) (50)
- Variational status of a class of fully nonlinear curvature prescription problems (2006) (50)
- CR-Tractors and the Fefferman Space (2006) (46)
- Almost conformally Einstein manifolds and obstructions (2004) (44)
- Conformally invariant non-local operators (2001) (43)
- Origins, Applications and Generalisations of the Q-Curvature (2008) (39)
- The conformal Killing equation on forms; prolongations and applications (2006) (38)
- Poincare-Einstein Holography for Forms via Conformal Geometry in the Bulk (2012) (38)
- Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds (2009) (37)
- Sharp version of the Goldberg–Sachs theorem (2009) (36)
- Projective BGG equations, algebraic sets, and compactifications of Einstein geometries (2010) (35)
- Einstein metrics in projective geometry (2012) (34)
- A sub-product construction of Poincare-Einstein metrics (2006) (30)
- COMPLEX ANALYSIS AND THE FUNK TRANSFORM (2003) (29)
- Renormalized Volume (2016) (28)
- Projective Compactifications and Einstein metrics (2013) (27)
- Detecting Einstein geodesics: Einstein metrics in projective and conformal geometry (2012) (27)
- Yang-Mills Detour Complexes and Conformal Geometry (2006) (26)
- GEOMETRY OF QUANTUM HOMOGENEOUS VECTOR BUNDLES AND REPRESENTATION THEORY OF QUANTUM GROUPS I (1997) (25)
- The so(d+2,2) Minimal Representation and Ambient Tractors: the Conformal Geometry of Momentum Space (2009) (25)
- Universal principles for Kazdan-Warner and Pohozaev-Schoen type identities (2010) (24)
- A holonomy characterisation of Fefferman spaces (2006) (24)
- Conformal Dirichlet-Neumann Maps and Poincare-Einstein Manifolds ? (2007) (22)
- Conformal hypersurface geometry via a boundary Loewner–Nirenberg–Yamabe problem (2015) (22)
- Invariant local twistor calculus for quaternionic structures and related geometries (1998) (19)
- Metric Projective Geometry, BGG Detour Complexes and Partially Massless Gauge Theories (2014) (18)
- A calculus for conformal hypersurfaces and new higher Willmore energy functionals (2016) (18)
- Some differential complexes within and beyond parabolic geometry (2011) (18)
- The Funk transform as a Penrose transform (1999) (17)
- Projectively related metrics, Weyl nullity and metric projectively invariant equations (2015) (17)
- Pontrjagin forms and invariant objects related to the Q-curvature (2005) (17)
- A CLASS OF COMPACT POINCARɖEINSTEIN MANIFOLDS: PROPERTIES AND CONSTRUCTION (2008) (16)
- Generalising the Willmore equation: submanifold conformal invariants from a boundary Yamabe problem (2014) (15)
- The P'-operator, the Q'-curvature, and the CR tractor calculus (2020) (15)
- Invariants and calculus for projective geometries (1996) (15)
- Renormalized volumes with boundary (2016) (14)
- Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex (2006) (14)
- NORMAL BGG SOLUTIONS AND POLYNOMIALS (2012) (14)
- The conformal deformation detour complex for the obstruction tensor (2006) (13)
- Conformal de Rham Hodge theory and operators generalising the Q-curvature (2004) (13)
- Electromagnetism, metric deformations, ellipticity and gauge operators on conformal 4-manifolds (2001) (13)
- Projective compactness and conformal boundaries (2014) (13)
- The BGG Complex on Projective Space (2011) (13)
- Conformally Invariant Operators via Curved Casimirs: Examples (2008) (12)
- Exceptional invariants in the parabolic invariant theory of conformal geometry (1995) (11)
- c-projective compactification; (quasi-)Kähler metrics and CR boundaries (2016) (11)
- Submanifold Conformal Invariants and a Boundary Yamabe Problem (2015) (11)
- Zero and negative eigenvalues of the conformal Laplacian (2015) (11)
- Singular Yamabe Problem Willmore Energies (2015) (11)
- Conformal boundary operators, T-curvatures, and conformal fractional Laplacians of odd order (2018) (11)
- Invariants on projective space (1994) (11)
- Commuting Linear Operators and Decompositions; Applications to Einstein Manifolds (2007) (10)
- Conformal Operators on Forms and Detour Complexes on Einstein Manifolds (2007) (10)
- NULLSPACES OF CONFORMALLY INVARIANT OPERATORS. APPLICATIONS TO Qk-CURVATURE (2012) (9)
- Variational calculus for hypersurface functionals: Singular Yamabe problem Willmore energies (2019) (9)
- Calculus and invariants on almost complex manifolds, including projective and conformal geometry (2012) (9)
- Four dimensional conformal C-spaces (2007) (8)
- The $P^\prime$-operator, the $Q^\prime$-curvature, and the CR tractor calculus (2017) (8)
- Q-curvature prescription; forbidden functions and the GJMS null space (2008) (7)
- Conformal geometry of embedded manifolds with boundary from universal holographic formulæ (2019) (7)
- Scalar curvature and projective compactness (2014) (7)
- Conformal invariants from nodal sets (2012) (7)
- Invariant prolongation of the Killing tensor equation (2018) (7)
- Conformal holonomy equals ambient holonomy (2015) (6)
- Distinguished curves and integrability in Riemannian, conformal, and projective geometry (2018) (6)
- Metrics in Projective Differential Geometry: The Geometry of Solutions to the Metrizability Equation (2018) (5)
- Conformal Operators on Weighted Forms; Their Decomposition and Null Space on Einstein Manifolds (2012) (5)
- Projective geometry of Sasaki–Einstein structures and their compactification (2018) (5)
- Invariant theory for a parabolic subgroup of SL(n+1 R) (1995) (5)
- Generalized willmore energies, Q-curvatures, extrinsic paneitz operators, and extrinsic laplacian powers (2021) (4)
- Some Examples of Projective and c-projective Compactifications of Einstein Metrics (2018) (4)
- CR Embedded Submanifolds of CR Manifolds (2015) (4)
- Conformal Fundamental Forms and the Asymptotically Poincar\'e--Einstein Condition (2021) (4)
- Prolongation on Contact Manifolds (2009) (4)
- Volume growth and puncture repair in conformal geometry (2017) (3)
- A conformally invariant differential operator on Weyl tensor densities (2001) (3)
- Invariant theory for a parabolic subgroup of (+1,) (1995) (2)
- Nullspaces of conformally invariant operators. Applications to $\boldsymbol{Q_k}$-curvature (2013) (2)
- Formal adjoints and a canonical form for linear operators (2006) (2)
- Commuting linear operators and algebraic decompositions (2007) (2)
- Distinguished Curves and First Integrals on Poincaré–Einstein and Other Conformally Singular Geometries (2020) (1)
- Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes (2022) (1)
- An Integral Operator into Dolbeault Cohomology (1996) (1)
- A decomposition theorem for linear operators; applications to Einstein manifolds (2007) (1)
- Metric Projective Geometry, BGG Detour Complexes and Partially Massless Gauge Theories (2015) (1)
- Tractor calculus, BGG complexes, and the cohomology of cocompact Kleinian groups (2018) (1)
- Singular Yamabe and Obata Problems (2019) (1)
- Non-holonomic equations for the normal extremals in geometric control theory (2019) (1)
- Invariant Prolongation and Detour Complexes (2006) (0)
- Projective compactness and conformal boundaries (2016) (0)
- A Conformally Invariant Yang-Mills Type Energy and Equation on 6-Manifolds (2021) (0)
- A relative mass cocycle and the mass of asymptotically hyperbolic manifolds (2021) (0)
- Conformal and CR geometry: Spectral and nonlocal aspects (2007) (0)
- Renormalized Volume (2017) (0)
- Institute for Mathematical Physics Tractor Calculi for Parabolic Geometries Tractor Calculi for Parabolic Geometries (1999) (0)
- Projective geometry of 3-Sasaki structures (2022) (0)
- Ellipti ity and Gauge Operators on Conformal 4 { ManifoldsThomas BransonA (2009) (0)
- TRACTOR BUNDLES FOR IRREDUCIBLE PARABOLICGEOMETRIESbyAndreas (2009) (0)
- Metrics in Projective Differential Geometry: The Geometry of Solutions to the Metrizability Equation (2018) (0)
- Conformal Operators on Weighted Forms; Their Decomposition and Null Space on Einstein Manifolds (2013) (0)
- TRACTOR BUNDLES FOR IRREDUCIBLE PARABOLIC GEOMETRIES by Andreas Čap & (2000) (0)
- Tractor calculus, BGG complexes, and the cohomology of Kleinian groups (2014) (0)
- Conformal geometry, holography, and boundary calculus (2012) (0)
- A Mean Curvature Flow for Conformally Compact Manifolds (2020) (0)
- Geometry of solutions to the c-projective metrizability equation (2021) (0)
- PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES (2018) (0)
- Einstein metrics in projective geometry (2013) (0)
- COMMUTING LINEAR OPERATORS AND ALGEBRAIC (2007) (0)
- Fe b 20 18 INVARIANT PROLONGATION OF THE KILLING TENSOR EQUATION (0)
- Structure Of The Jet Bundle For Manifolds With Conformal Or Projective Structure. (1995) (0)
- 2 1 Ju l 2 02 1 CONFORMAL FUNDAMENTAL FORMS AND THE ASYMPTOTICALLY POINCARÉ – EINSTEIN CONDITION (2021) (0)
- Invariant prolongation of the Killing tensor equation (2018) (0)
- Conformally Invariant Powers of the Lapla ian , Q { Curvature , and Tra (2009) (0)
- Conformal structure in geometry, analysis, and physics (2019) (0)
- Boundary operators on conformally compact manifolds, and a boundary LoewnerNirembergYamabe problem (2014) (0)
- The Research of Thomas P. Branson (2008) (0)
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