Local reflexion spaces

DOI10.5817/AM2012-5-323zbMATH Open1289.53108arXiv1207.0189MaRDI QIDQ2846608

Jan Gregorovič

Publication date: 9 September 2013

Published in: Archivum Mathematicum (Search for Journal in Brave)

Abstract: A reflexion space is generalization of a symmetric space introduced by O. Loos. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexion spaces are equivalently given by a locally flat Cartan connection of certain type.

Full work available at URL: https://arxiv.org/abs/1207.0189

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zbMATH Keywords

flat Cartan geometrylocal infinitesimal automorphismslocal reflexion space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of symmetric spaces (53C35) (G)-structures (53C10)

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