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arXiv · 0911.0370

An integral formula for the volume entropy with applications to rigidity

Francois Ledrappier·Xiaodong Wang
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Abstract

We extend the theory of Patterson-Sullivan measure to any regular covering of a compact manifold using the Busemann compactification and derive an integral formula for the volume entropy. As applications we prove some rigidity theorems for the volume entropy.

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Francois Ledrappier, Xiaodong Wang. 2009-12-16. An integral formula for the volume entropy with applications to rigidity. https://arxiv.org/abs/0911.0370

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