The classification problem for pseudo-Riemannian symmetric spaces
Ines Kath and Martin Olbrich
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Submission date: 13. Dec. 2006
published in: Recent developments in pseudo-Riemannian geometry / D. V. Alekseevsky ... (eds.)
Zürich : European Mathematical Society, 2008. - P. 1 - 52
(ESI lectures in mathematics and physics)
DOI number (of the published article): 10.4171/051
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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 article we want to explain these results and some of their applications.