Publication details

Notes on symmetric conformal geometries

Authors

GREGOROVIČ Jan ZALABOVÁ Lenka

Year of publication 2015
Type Article in Periodical
Magazine / Source Archivum Mathematicum
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.5817/AM2015-5-287
Field General mathematics
Keywords Conformal geometry; Parallel weyl tensor; Symmetric space
Description 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
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