Geodesic
Notes on symmetric conformal geometries
Archivum mathematicum, Tome 51 (2015) no. 5, pp. 287-296 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2015-5-287
Classification : 53A30, 53C35
Keywords: conformal geometry; symmetric space; parallel Weyl tensor 
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Gregorovič, Jan; Zalabová, Lenka. Notes on symmetric conformal geometries. Archivum mathematicum, Tome 51 (2015) no. 5, pp. 287-296. doi: 10.5817/AM2015-5-287

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