Curvature Bounds for the Entropy of the Geodesic Flow on a Surface

DOI10.1112/jlms/s2-24.2.351zbMath0443.53035OpenAlexW2021831706MaRDI QIDQ3886463

Anthony Manning

Publication date: 1981

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-24.2.351

zbMATH Keywords

entropygeodesic flowGaussian curvatureJacobi equation

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Surfaces in Euclidean and related spaces (53A05) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (13)

Alpha-congruence for dispersive billiards ⋮ Geodesic flow, connecting orbits and almost full foliation ⋮ On the entropy of the geodesic flow in manifolds without conjugate points ⋮ Geodesic flow on the two-sphere, Part I: Positive measure entropy ⋮ Using integrability to produce chaos: Billiards with positive entropy ⋮ Dynamics of the geodesic flow of a foliation ⋮ Entropy, minimal surfaces and negatively curved manifolds ⋮ Four applications of conformal equivalence to geometry and dynamics ⋮ Unique equilibrium states for geodesic flows in nonpositive curvature ⋮ Surface groups acting on spaces ⋮ Unnamed Item ⋮ Flexibility of entropies for surfaces of negative curvature ⋮ A new curvature invariant and entropy of geodesic flows

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