A new curvature invariant and entropy of geodesic flow.
P. Sarnak, R. Osserman (1984)
Inventiones mathematicae
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Displaying similar documents to “Regularity of measure theoretic entropy for geodesic flows of negative curvature: I.”
A new curvature invariant and entropy of geodesic flow.
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We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
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