scientific article

zbMath0806.58029MaRDI QIDQ4022247

Patrick Foulon

Publication date: 17 January 1993

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1992__57_2_117_0

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zbMATH Keywords

geodesic flowFinsler spaceJacobi endomorphismsAnosov entropynegatively curved case

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) 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) Dynamical systems with hyperbolic behavior (37D99)

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Curvatures and hyperbolic flows for natural mechanical systems in Finsler geometry ⋮ A geometric proof of the existence of the Green bundles ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Compact Finsler manifolds without focal points ⋮ On geodesically reversible Finsler manifolds ⋮ Unnamed Item ⋮ The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents ⋮ Primitive stable representations in higher rank semisimple Lie groups ⋮ Finsler manifolds without conjugate points and with integral Ricci curvature ⋮ Unnamed Item ⋮ On Finsler manifolds with hyperbolic geodesic flows ⋮ Three results on the regularity of the curves that are invariant by an exact symplectic twist map ⋮ Unnamed Item ⋮ Continuity of the SRB entropy of convex projective structures ⋮ Billiards in Finsler and Minkowski geometries ⋮ Unnamed Item

Cites Work

• A new curvature invariant and entropy of geodesic flows
• Ergodic theory of differentiable dynamical systems
• On the entropy of the geodesic flow in manifolds without conjugate points
• Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points
• Espaces variationnels et mécanique
• When is a geodesic flow of Anosov type, I
• A theorem of E. Hopf
• Curvature Bounds for the Entropy of the Geodesic Flow on a Surface
• Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them
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