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@article{1338092,
author = {Gregorovič, Jan and Zalabová, Lenka},
article_number = {5},
doi = {http://dx.doi.org/10.5817/AM2015-5-287},
keywords = {Conformal geometry; Parallel weyl tensor; Symmetric space},
language = {eng},
issn = {0044-8753},
journal = {Archivum Mathematicum},
title = {Notes on symmetric conformal geometries},
volume = {51},
year = {2015}
}
TY - JOUR
ID - 1338092
AU - Gregorovič, Jan - Zalabová, Lenka
PY - 2015
TI - Notes on symmetric conformal geometries
JF - Archivum Mathematicum
VL - 51
IS - 5
SP - 287-296
EP - 287-296
SN - 00448753
KW - Conformal geometry
KW - Parallel weyl tensor
KW - Symmetric space
N2 - In this article, we summarize the results on symmetric conformal geometries. We review the results following from the general theory of symmetric parabolic geometries and prove several new results for symmetric conformal geometries. In particular, we show that each symmetric conformal geometry is either locally flat or covered by a pseudo-Riemannian symmetric space, where the covering is a conformal map. We construct examples of locally flat symmetric conformal geometries that are not pseudo-Riemannian symmetric spaces
ER -
GREGOROVIČ, Jan a Lenka ZALABOVÁ. Notes on symmetric conformal geometries. \textit{Archivum Mathematicum}. roč.~51, č.~5, s.~287-296. ISSN~0044-8753. doi:10.5817/AM2015-5-287. 2015.
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