A short proof to the rigidity of volume entropy

Details A short proof to the rigidity of volume entropy A short proof to the rigidity of volume entropy

2011-02-10

arxiv.org/abs/1102.2019v1

Math. Res. Lett. 18(2011), no.01, 151-153

Mathematics

Differential Geometry

3 pages

Scientific paper

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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