Mathematics – Differential Geometry
Scientific paper
2009-11-02
Mathematics
Differential Geometry
added discussion on quaternionic Kahler case; reorganized
Scientific paper
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.
Ledrappier Francois
Wang Xiaodong
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