Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows

DOI10.1007/BF02099667zbMath0749.58041MaRDI QIDQ1814252

Gerhard Knieper, Anatole Katok, Howard Weiss

Publication date: 25 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

geodesic flowtopological entropyAnosov flow

Mathematics Subject Classification ID

Entropy in general topology (54C70) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Certain measures associated with U-flows on compact manifolds
• Manifolds with non-positive curvature
• Entropy and volume
• Four applications of conformal equivalence to geometry and dynamics
• An inequality for the entropy of differentiable maps
• Periodic Orbits for Hyperbolic Flows

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