On two theorems about local automorphisms of geometric structures

DOI10.5802/aif.3009zbMath1417.53057arXiv1402.5048OpenAlexW3121837644MaRDI QIDQ332172

Vincent Pecastaing

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5048

zbMATH Keywords

Cartan geometrieslocal homogeneityorbits of local automorphisms

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Rigidity results (53C24)

Related Items (10)

Isometry group of Lorentz manifolds: a coarse perspective ⋮ The geometry of locally symmetric affine surfaces ⋮ Partially hyperbolic diffeomorphisms and Lagrangian contact structures ⋮ Holomorphic projective connections on compact complex threefolds ⋮ The Lorentzian Lichnerowicz conjecture for real-analytic, three-dimensional manifolds ⋮ Quasihomogeneous three-dimensional real-analytic Lorentz metrics do not exist ⋮ Fujiki class 𝒞 and holomorphic geometric structures ⋮ The conformal group of a compact simply connected Lorentzian manifold ⋮ Essential conformal actions of \({{\mathrm{PSL}}}(2,\mathbb{R})\) on real-analytic compact Lorentz manifolds ⋮ Lorentz dynamics on closed 3-manifolds

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• Infinitesimally homogeneous spaces
• A global formulation of the Lie theory of transformation groups

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