scientific article

zbMath0489.58025MaRDI QIDQ3951284

Anthony Manning

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

increase of entropy by large local perturbations of Riemannian metricnilmanifold with invariant metrictopological entropy of geodesic flowupper bound for entropy in terms of maximum sectional curvature

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy in general topology (54C70) Geodesics in global differential geometry (53C22) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Global Riemannian geometry, including pinching (53C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (3)

The Weil-Petersson geodesic flow is ergodic ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ Integrable geodesic flows on \(n\)-step nilmanifolds

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