The Ambrose-Singer theorem for general homogeneous manifolds with applications to symplectic geometry

DOI10.1007/s00009-022-02197-xOpenAlexW4308400027MaRDI QIDQ2682879

J. L. Carmona Jiménez, Marco Castrillón López

Publication date: 1 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06254

zbMATH Keywords

homogeneous manifoldssymplectic manifoldshomogeneous structurescanonical connectionFedosov manifoldslocally homogeneous manifoldsAmbrose-Singer theorem

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Symplectic manifolds (general theory) (53D05) Linear and affine connections (53B05)

Cites Work

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• On invariants of almost symplectic connections
• Homogeneous pseudo-Riemannian structures of linear type
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• Symplectic geometry and secondary characteristic classes
• Counter-example to the second Singer's theorem
• Fedosov manifolds
• On locally homogeneous \(G\)-structures
• Curvature-orbits and locally homogeneous Riemannian manifolds
• Reductive homogeneous pseudo-Riemannian manifolds
• On the three-dimensional spaces which admit a continuous group of motions
• Infinitesimal homogeneity and bundles
• Reductive locally homogeneous pseudo-Riemannian manifolds and Ambrose-Singer connections
• On homogeneous Riemannian manifolds
• Classification of material \(G\)-structures
• Pseudo-Riemannian homogeneous structures
• Invariant Affine Connections on Homogeneous Spaces
• Generalized symmetric spaces

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