非等距群作用的基本区域

IF 0.5 4区数学 Q3 MATHEMATICS

Geometriae Dedicata 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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来源期刊

Geometriae Dedicata 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. Geometriae Dedicata aims to be a vehicle for excellent publications in geometry and related areas. Features of the journal will include: A fast turn-around time for articles. Special issues centered on specific topics. All submitted papers should include some explanation of the context of the main results. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder''s vision and to the success of the Editors'' mission.