The classification problem for pseudo-Riemannian symmetric spaces
Differential Geometry
2007-05-23 v1 Rings and Algebras
Representation Theory
Abstract
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.
Cite
@article{arxiv.math/0612101,
title = {The classification problem for pseudo-Riemannian symmetric spaces},
author = {Ines Kath and Martin Olbrich},
journal= {arXiv preprint arXiv:math/0612101},
year = {2007}
}
Comments
55 pages; To appear in: Recent developments in pseudo-Riemannian Geometry, ESI Lectures in Mathematics and Physics, EMS Publishing House