A short proof to the rigidity of volume entropy

Published 10 Feb 2011 in math.DG | (1102.2019v1)

Abstract: 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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Gang Liu

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