Simplicial volume of closed locally homogeneous Riemannian manifolds

被引：0

作者：

How, Peng Hui ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2023年

关键词：

Geometric topology; locally homogeneous Riemannian manifolds; simplicial volume; GEOMETRIC STRUCTURES;

D O I：

10.1142/S179352532350022X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, 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, giving a converse to a result by Lafont and Schmidt within the scope of closed, locally homogeneous Riemannian manifolds. This characterizes all closed locally homogeneous Riemannian manifolds with nonzero simplicial volume.

引用

页数：13

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