Dynamics of the geodesic flow of a foliation

DOI10.1017/S0143385700004740zbMath0663.53028MaRDI QIDQ3812870

Paweł G. Walczak

Publication date: 1988

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

zbMATH Keywords

volumeentropygeodesic flowtotally geodesic foliationstransversely minimal foliation

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) 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)

Related Items (6)

Hadamard foliations of \(\mathbb H^n\) ⋮ Gibbs \(u\)-states for the foliated geodesic flow and transverse invariant measures ⋮ Deformations of totally geodesic foliations and minimal surfaces in negatively curved 3-manifolds ⋮ Existence of Smooth Invariant Measures for Geodesic Flows of Foliations of Riemannian Manifolds ⋮ Metric Flows in Space Forms of Nonpositive Curvature ⋮ On quasi-Riemannian foliations

Cites Work

• Unnamed Item
• Foliations, the ergodic theorem and Brownian motion
• A new curvature invariant and entropy of geodesic flows
• Structure of manifolds of nonpositive curvature. I
• Structure of manifolds of nonpositive curvature. II
• Ergodic theory of differentiable dynamical systems
• Topological entropy for geodesic flows
• On the entropy of the geodesic flow in manifolds without conjugate points
• Foliations with measure preserving holonomy
• A theorem of E. Hopf
• Curvature Bounds for the Entropy of the Geodesic Flow on a Surface

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