The Visibility Axiom on a Hadamard Manifold whose Geodesic Flow is of Anosov Type

DOI10.2307/2047014zbMath0693.53016OpenAlexW4243293204MaRDI QIDQ3468254

Tetsuo Ukai

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047014

zbMATH Keywords

geodesic flowHadamard manifoldTits metricpoints at infinityVisibility Axiom

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• Manifolds of nonpositive curvature
• Geometry of horospheres
• Horospheres and the stable part of the geodesic flow
• When is a geodesic flow of Anosov type, I
• Visibility manifolds
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