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<p>We study all four-dimensional simply-connected indecomposable non-semisimple pseudo-Riemannian symmetric spaces whose metric has signature (2,&#xa0;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.</p>

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Pseudo-Riemannian Symmetric Spaces of Signature (2, 2)

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月9日

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  • Ines Kath,
  • Matti Lyko

摘要

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.