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A new approach to the computation of the entropy of a geodesic flow and similar dynamical systems. (English. Russian original) Zbl 0706.58050

Sov. Math., Dokl. 37, No. 2, 501-504 (1988); translation from Dokl. Akad. Nauk SSSR 299, No. 5, 1041-1044 (1988).
The author studies the geodesic flow on a closed Riemannian manifold aiming at expressions for the entropy for a focusing property of geodesics. He also gets a new example of a flow with positive entropy.
Reviewer: U.D’Ambrosio

MSC:

37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 Geodesic flows in symplectic geometry and contact geometry

Keywords:

geodesic flows
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