Partially hyperbolic geodesic flows are Anosov

DOI10.1016/S1631-073X(02)02196-9zbMath1154.37334OpenAlexW2620878929MaRDI QIDQ1600192

Gonzalo Contreras

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02196-9

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (2)

Franks' lemma for \(C^2\)-Mañé perturbations of Riemannian metrics and applications to persistence ⋮ Partially hyperbolic geodesic flows

Cites Work

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• Persistently expansive geodesic flows
• Existence of dichotomies and invariant splittings for linear differential systems. I
• When is a geodesic flow of Anosov type, I
• Convex Hamiltonians without conjugate points
• A Quasi-Anosov Diffeomorphism That is Not Anosov
• Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
• A note on Anosov diffeomorphisms
• Isolated Invariant Sets for Flows on Vector Bundles
• Invariant manifolds

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