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GREGOROVIČ, Jan and Lenka ZALABOVÁ. Notes on symmetric conformal geometries. Archivum Mathematicum. 2015, vol. 51, No 5, p. 287-296. ISSN 0044-8753. doi:10.5817/AM2015-5-287.
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Basic information
Original name Notes on symmetric conformal geometries
Authors GREGOROVIČ, Jan (203 Czech Republic, guarantor, belonging to the institution) and Lenka ZALABOVÁ (203 Czech Republic).
Edition Archivum Mathematicum, 2015, 0044-8753.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Czech Republic
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14310/15:00081627
Organization unit Faculty of Science
Doi http://dx.doi.org/10.5817/AM2015-5-287
UT WoS 000434521800004
Keywords in English Conformal geometry; Parallel weyl tensor; Symmetric space
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 7/4/2016 14:01.
Abstract
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
Links
GBP201/12/G028, research and development projectName: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku
Investor: Czech Science Foundation
Displayed: 5/12/2022 03:24