C-projective geometry

DOI10.1090/memo/1299zbMath1482.53001arXiv1512.04516OpenAlexW2215462865MaRDI QIDQ4983682

Katharina Neusser, David M. J. Calderbank, Michael G. Eastwood, Vladimir S. Matveev

Publication date: 26 April 2021

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04516

zbMATH Keywords

integrabilityconserved quantitiesnullityalmost complex manifoldsBGG sequencesmetrisabilitytractor bundlesalmost c-projective manifoldalmost complex projective geometryBernstein-Gelfand-Gelfand operatorholomorphic projective geometry

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Invariance and symmetry properties for PDEs on manifolds (58J70) Rigidity results (53C24) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Geodesic flows in symplectic geometry and contact geometry (53D25) Almost complex manifolds (32Q60) Projective differential geometry (53A20) Projective connections (53B10)

Related Items (11)

Quaternion-Kähler manifolds near maximal fixed point sets of \(S^1\)-symmetries ⋮ Metrics admitting projective and c-projective vector fields ⋮ Holomorphic projective connections on surfaces ⋮ First BGG operators via homogeneous examples ⋮ Geometry of solutions to the c-projective metrizability equation ⋮ C-projective symmetries of submanifolds in quaternionic geometry ⋮ Metrisability of projective surfaces and pseudo-holomorphic curves ⋮ PROJECTIVE STRUCTURES AND -CONNECTIONS ⋮ Some examples of projective and \(c\)-projective compactifications of Einstein metrics ⋮ Metrics in projective differential geometry: the geometry of solutions to the metrizability equation ⋮ Geodesic flows of c-projectively equivalent metrics are quantum integrable

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