非等距群作用的基本区域

Pub Date : 2024-09-06 DOI:10.1007/s10711-024-00944-w
Thomas Leistner, Stuart Teisseire
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引用次数: 0

摘要

我们将关于度量空间上等距群作用及其基本区域的结果推广到单纯连续群作用的范畴。特别是,我们获得了可紧密群作用基本区域相对紧密性的结果。因此,我们得到了一个半黎曼同调的cocompact循环群的无本质标准。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Fundamental regions for non-isometric group actions

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Fundamental regions for non-isometric group actions

We generalise results about isometric group actions on metric spaces and their fundamental regions to the context of merely continuous group actions. In particular, we obtain results that yield the relative compactness of a fundamental region for a cocompact group action. As a consequence, we obtain a criterion for a cocompact cyclic group of semi-Riemannian homotheties to be inessential.

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