Local reflexion spaces
Archivum Mathematicum (2012)
- Volume: 048, Issue: 5, page 323-332
- ISSN: 0044-8753
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topGregorovič, Jan. "Local reflexion spaces." Archivum Mathematicum 048.5 (2012): 323-332. <http://eudml.org/doc/251388>.
@article{Gregorovič2012,
abstract = {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.},
author = {Gregorovič, Jan},
journal = {Archivum Mathematicum},
keywords = {local reflexion space; flat Cartan geometry; local infinitesimal automorphisms; local reflexion space; flat Cartan geometry; local infinitesimal automorphisms},
language = {eng},
number = {5},
pages = {323-332},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Local reflexion spaces},
url = {http://eudml.org/doc/251388},
volume = {048},
year = {2012},
}
TY - JOUR
AU - Gregorovič, Jan
TI - Local reflexion spaces
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 5
SP - 323
EP - 332
AB - 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.
LA - eng
KW - local reflexion space; flat Cartan geometry; local infinitesimal automorphisms; local reflexion space; flat Cartan geometry; local infinitesimal automorphisms
UR - http://eudml.org/doc/251388
ER -
References
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- Loos, O., 10.1007/BF01123745, Math. Z. 99 (1967), 141–170. (1967) Zbl0148.17403MR0212742DOI10.1007/BF01123745
- Loos, O., 10.1007/BF02999694, Abh. Math. Sem. Univ. Hamburg 37 (1972), 160–179. (1972) Zbl0239.55018MR0307124DOI10.1007/BF02999694
- Sharpe, R. W., Differential Geometry, Cartan’s Generalization of Klein’s Erlangen Program, Springer Verlag, New York, 1997. (1997) Zbl0876.53001MR1453120
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