An integral formula for the volume entropy with applications to rigidity
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🧮 math.DG
math.DS
keywords
entropyvolumeapplicationsformulaintegralrigiditybusemanncompact
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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.
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