A short proof to the rigidity of volume entropy

Gang Liu

doi:10.4310/MRL.2011.v18.n1.a11

A short proof to the rigidity of volume entropy

Gang Liu^*

^*此作品的通讯作者

University of Minnesota Twin Cities

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

In this note we give a short proof to the rigidity of volume entropy. The result says that for a closed manifold with Ricci curvature bounded from below, if the universal cover has maximal volume entropy, then it is the space form. This theorem was first proved by F. Ledrappier and X. Wang in [1].

源语言	英语
页（从-至）	151-153
页数	3
期刊	Mathematical Research Letters
卷	18
期	1
DOI	https://doi.org/10.4310/MRL.2011.v18.n1.a11
出版状态	已出版 - 1月 2011
已对外发布	是

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VL - 18

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A short proof to the rigidity of volume entropy

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