MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

The classification problem for pseudo-Riemannian symmetric spaces

Ines Kath and Martin Olbrich


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.


Related publications

2008 Repository Open Access
Ines Kath and Martin Olbrich

The classification problem for pseudo-Riemannian symmetric spaces

In: Recent developments in pseudo-Riemannian geometry / Dmitri V. Alekseevsky... (eds.)
Zürich : European Mathematical Society, 2008. - pp. 1-52
(ESI lectures in mathematics and physics)