Persistently expansive geodesic flows

DOI10.1007/BF02099298zbMath0746.58066MaRDI QIDQ1180483

Rafael Oswaldo Ruggiero

Publication date: 27 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

geodesic flowsAnosov flowshyperbolic flowsexpansive flows

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (9)

Franks' lemma for \(C^2\)-Mañé perturbations of Riemannian metrics and applications to persistence ⋮ A note on expansiveness and hyperbolicity for generic geodesic flows ⋮ Partially hyperbolic geodesic flows ⋮ Continuum-wise expansive symplectic diffeomorphisms ⋮ Does the hyperbolicity of periodic orbits of a geodesic flow without conjugate points imply the Anosov property? ⋮ Expansiveness and hyperbolicity in convex billiards ⋮ Partially hyperbolic geodesic flows are Anosov ⋮ Hyperbolicity through stable shadowing for generic geodesic flows ⋮ Continuum-wise expansive diffeomorphisms and conservative systems

Cites Work

• An ergodic closing lemma
• When is a geodesic flow of Anosov type, I
• The \(\Omega\)-stability theorem for flows
• Generic properties of geodesic flows
• An Improved Closing Lemma and a General Density Theorem
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