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arXiv · 1503.02505

Notes on symmetric conformal geometries

Jan Gregorovič·Lenka Zalabová
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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.

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Jan Gregorovič, Lenka Zalabová. 2015-03-09. Notes on symmetric conformal geometries. https://doi.org/10.5817/am2015-5-287

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