Metrics admitting projective and c-projective vector fields
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Publication:6073424
DOI10.1090/conm/788/15827zbMath1523.53017OpenAlexW4387319641MaRDI QIDQ6073424
Jan Schumm, Gianni Manno, Andreas Vollmer
Publication date: 15 September 2023
Published in: The Diverse World of PDEs (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/788/15827
Local Riemannian geometry (53B20) Projective differential geometry (53A20) Projective connections (53B10)
Cites Work
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- Two-dimensional metrics admitting precisely one projective vector field
- Metrisability of three-dimensional path geometries
- Geodesically equivalent metrics in general relativity
- Proof of the projective Lichnerowicz-Obata conjecture
- Proof of the projective Lichnerowicz conjecture for pseudo-Riemannian metrics with degree of mobility greater than two
- Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta
- Riemannian manifolds admitting a projective vector field
- Finding collineations of Kimura metrics
- Holomorphically projective mappings and their generalizations
- Projective transformations of pseudo-Riemannian manifolds
- Geodesic equivalence via integrability
- The Obata conjecture for dimension 2
- Proof of the Yano-Obata conjecture for \(h\)-projective transformations
- 3-dimensional Levi-Civita metrics with projective vector fields
- Four-dimensional Kähler metrics admitting c-projective vector fields
- Metrisability of two-dimensional projective structures
- Normal forms of two-dimensional metrics admitting exactly one essential projective vector field
- Geodesic rigidity of Levi-Civita connections admitting essential projective vector fields
- (Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry
- Conification construction for Kähler manifolds and its application in \(c\)-projective geometry
- Lichnerowicz-Obata conjecture in dimension two
- A solution of a problem of Sophus Lie: normal forms of two-dimensional metrics admitting two projective vector fields
- Hamiltonian 2-forms in Kähler geometry. II: Global classification
- The only Kähler manifold with degree of mobility at least 3 is (ℂP (n ), ɡ Fubini-Study )
- Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics
- On Liouville integrability of $h$-projectively equivalent Kähler metrics
- C-projective geometry
- Local normal forms for c-projectively equivalent metrics and proof of the Yano-Obata conjecture in arbitrary signature. Proof of the projective Lichnerowicz conjecture for Lorentzian metrics
- Local normal forms for geodesically equivalent pseudo-Riemannian metrics
- Metric connections in projective differential geometry
- Curvature in Hermitian metric
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