闭局部齐次黎曼流形的简单体积

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2022-11-16 DOI:10.1142/s179352532350022x

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引用次数: 0

摘要

证明了每一个具有正简单体积的闭局部齐次黎曼流形必须同胚于非紧型局部对称空间。

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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Simplicial Volume of Closed Locally Homogeneous Riemmannian Manifolds

We show that every closed, locally homogeneous Riemannian manifold with positive simplicial volume must be homeomorphic to a locally symmetric space of non-compact type.

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来源期刊

Journal of Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.