Pseudo-Riemannian symmetric spaces of signature (2,2)

2024/05/01 by Ines Kath, Kath, Ines, Matti Lyko +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2405.00501

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.

Cited by

• On completeness of certain locally symmetric pseudo-Riemannian manifolds of signature (2,2)

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