The classification problem for pseudo-Riemannian symmetric spaces

Details The classification problem for pseudo-Riemannian symmetric spaces The classification problem for pseudo-Riemannian symmetric spaces

2006-12-04

arxiv.org/abs/math/0612101v1

Mathematics

Differential Geometry

55 pages; To appear in: Recent developments in pseudo-Riemannian Geometry, ESI Lectures in Mathematics and Physics, EMS Publis

Scientific paper

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.

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