Geodesic flows of negatively curved manifolds with smooth stable and unstable foliations

DOI10.1017/S0143385700004430zbMath0634.58020WikidataQ125899059 ScholiaQ125899059MaRDI QIDQ3772946

Masahiko Kanai

Publication date: 1988

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

zbMATH Keywords

geodesic flowAnosov flowAnosov splitting

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (22)

Invariant two-forms for geodesic flows ⋮ Geodesic flows on negatively curved manifolds and the semi-classical zeta function ⋮ A survey on paracomplex geometry ⋮ Partially hyperbolic diffeomorphisms and Lagrangian contact structures ⋮ Secondary invariants and the singularity of the Ruelle zeta-function in the central critical point ⋮ Hyperbolic rank rigidity for manifolds of -pinched negative curvature ⋮ Some rigidity theorems for Anosov geodesic flows in manifolds of finite volume ⋮ Contact Anosov flows on hyperbolic 3-manifolds ⋮ Isometric immersions of the hyperbolic plane into the hyperbolic space ⋮ Anatole Katok ⋮ Deformations of Anosov flows and of Fuchsian groups ⋮ Regularity of the Anosov distributions of Euler-Lagrange deformations of geodesic flows ⋮ The geometry of a bi-Lagrangian manifold ⋮ Bootstrapping Regularity of the Anosov Splitting ⋮ Differentiability, rigidity and Godbillon-Vey classes for Anosov flows ⋮ Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces ⋮ Unnamed Item ⋮ Rigidity of surfaces whose geodesic flows preserve smooth foliations of codimension 1 ⋮ Cartan connections and path structures with large automorphism groups ⋮ Horospheres and hyperbolicity of Hadamard manifolds ⋮ A Pinching Theorem for Cusps of Negatively Curved Manifolds with Finite Volume ⋮ Differentiable rigidity of Fuchsian groups

Cites Work

• Unnamed Item
• Three remarks on geodesic dynamics and fundamental group
• The generalized geodesic flow
• Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
• On the equivalence problems associated with a certain class of homogeneous spaces
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Symplectic manifolds and their Lagrangian submanifolds
• Geodesic flows on negatively curved manifolds. I
• Visibility manifolds
• Transformation Groups on Compact Symmetric Spaces

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