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A short proof to the rigidity of volume entropy

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arxiv 1102.2019 v1 pith:PNFW4Q7R submitted 2011-02-10 math.DG

Gang Liu This is my paper · ORCID
classification math.DG
keywords entropyvolumeproofrigidityshortbelowboundedclosed
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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].

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