The classification problem for pseudo-Riemannian symmetric spaces

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Riemannian and pseudo-Riemannian symmetric spaces with semisimple transvection group are known and classified for a long time. Contrary to that the description of pseudo-Riemannian symmetric spaces with non-semisimple transvection group is an open problem. In the last years some progress on this problem was achieved. In this survey article we want to explain these results and some of their applications. Among other things, the material developed in our previous papers math.DG/0312243, math.DG/0408249, and math.DG/0503220 is presented in a unified way.
55 pages; To appear in: Recent developments in pseudo-Riemannian Geometry, ESI Lectures in Mathematics and Physics, EMS Publishing House

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Differential Geometry, Rings and Algebras, Representation Theory, 53C35; 53C50; 17B56

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http://salesiana.dossiersoluciones.com/handle/123456789/119833

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612101
 http://arxiv.org/abs/math/0612101

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arXiv