An integral formula for the volume entropy with applications to rigidity

By F. Ledrappier, Xiaodong Wang. 2009

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/adcd162ae0352f09a30768b9d8f1231a855feba1