论非正曲率有限体积非紧凑流形的末端

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2024-05-27 DOI:10.1007/s00222-024-01266-0

Ran Ji, Yunhui Wu

引用次数: 0

摘要

在本文中，我们证实了一个民间猜想，即对于一个具有截面曲率（-1 \leq K \leq 0\）的有限体积的完整非紧密流形（M\），如果（M\）的普盖是一个可见流形，那么（M\）的每个端部的基群几乎都是零potent。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On ends of finite-volume noncompact manifolds of nonpositive curvature

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On ends of finite-volume noncompact manifolds of nonpositive curvature

In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold \(M\) of finite volume with sectional curvature \(-1 \leq K \leq 0\), if the universal cover of \(M\) is a visibility manifold, then the fundamental group of each end of \(M\) is almost nilpotent.

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来源期刊

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).