Geodesic flow on the two-sphere, Part I: Positive measure entropy

DOI10.1017/S0143385700004685zbMath0645.58030MaRDI QIDQ3788780

Victor J. Donnay

Publication date: 1988

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

geodesic flowergodictwo-spherePesin's formulanon-zero Lyapunov exponentpositive measure entropy

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Structure of manifolds of nonpositive curvature. I
• Principles for the design of billiards with nonvanishing Lyapunov exponents
• On the ergodic properties of nowhere dispersing billiards
• Curvature Bounds for the Entropy of the Geodesic Flow on a Surface
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Closed Surfaces Without Conjugate Points