Reference : On two theorems about local automorphisms of geometric structures
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/39063
On two theorems about local automorphisms of geometric structures
English
Pecastaing, Vincent mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
Annales de l'Institut Fourier
Association des Annales de l'Institut Fourier
66
1
175-208
Yes
International
0373-0956
1777-5310
Grenoble
France
[en] Cartan geometries ; Local homogeneity ; Orbits of local automorphisms
[en] This article investigates a few questions about orbits of local automorphisms in manifolds endowed with rigid geometric structures. We give suf- ficient 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.
Researchers
http://hdl.handle.net/10993/39063
10.5802/aif.3009
https://aif.centre-mersenne.org/item/AIF_2016__66_1_175_0/

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