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arXiv:0911.0370 [math.DG]AbstractReferencesReviewsResources

An integral formula for the volume entropy with applications to rigidity

Francois Ledrappier, Xiaodong Wang

Published 2009-11-02, updated 2009-12-16Version 3

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.

Comments: added discussion on quaternionic Kahler case; reorganized
Categories: math.DG, math.DS
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