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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}. 2015, roč.~51, č.~5, s.~287-296. ISSN~0044-8753. Dostupné z: https://dx.doi.org/10.5817/AM2015-5-287.
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