Some remarks on proper actions, proper metric spaces, and buildings

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2021-09-27 DOI:10.1515/advgeom-2022-0018

L. Kramer

引用次数: 1

Abstract

Abstract We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is strongly transitive on the maximal atlas (the complete apartment system) of the building.

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关于适当的行动、适当的度量空间和建筑物的一些评论

摘要我们讨论了适当度量空间上等距群作用的各个方面。作为一个应用，我们证明了欧氏建筑上的一个适当的Weyl传递作用在该建筑的最大图集（完全公寓系统）上是强传递的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.