Pseudo-Riemannian symmetric spaces of signature (2,2)
Differential Geometry
2024-05-02 v1
Abstract
We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,2). We present models and compute their isometry groups. We solve the problem of the existence or non-existence of compact quotients by properly acting discrete subgroups of the isometry group. This continues and completes earlier work by Maeta.
Keywords
Cite
@article{arxiv.2405.00501,
title = {Pseudo-Riemannian symmetric spaces of signature (2,2)},
author = {Ines Kath and Matti Lyko},
journal= {arXiv preprint arXiv:2405.00501},
year = {2024}
}
Comments
48 pages