Local reflexion spaces
Archivum mathematicum, Tome 48 (2012) no. 5, pp. 323-332
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A reflexion space is generalization of a symmetric space introduced by O. Loos in [4]. 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.
DOI :
10.5817/AM2012-5-323
Classification :
53C10, 53C35
Keywords: local reflexion space; flat Cartan geometry; local infinitesimal automorphisms
Keywords: local reflexion space; flat Cartan geometry; local infinitesimal automorphisms
@article{10_5817_AM2012_5_323,
author = {Gregorovi\v{c}, Jan},
title = {Local reflexion spaces},
journal = {Archivum mathematicum},
pages = {323--332},
publisher = {mathdoc},
volume = {48},
number = {5},
year = {2012},
doi = {10.5817/AM2012-5-323},
mrnumber = {3007615},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2012-5-323/}
}
Gregorovič, Jan. Local reflexion spaces. Archivum mathematicum, Tome 48 (2012) no. 5, pp. 323-332. doi: 10.5817/AM2012-5-323
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