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- W3121837644 abstract "This article investigates a few questions about orbits of local automorphisms in manifolds endowed with rigid geometric structures. We give sufficient conditions for local homogeneity in a broad class of such structures, namely Cartan geometries, extending a classical result of Singer about locally homogeneous Riemannian manifolds. We also revisit a strong result of Gromov which describes the structure of the orbits of local automorphisms of manifolds endowed with A-rigid structures, and give a statement and a simpler proof of this result in the setting of Cartan geometries." @default.
- W3121837644 created "2021-02-01" @default.
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- W3121837644 date "2016-01-01" @default.
- W3121837644 modified "2023-10-18" @default.
- W3121837644 title "On two theorems about local automorphisms of geometric structures" @default.
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- W3121837644 doi "https://doi.org/10.5802/aif.3009" @default.
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