The visibility axiom on a Hadamard manifold whose geodesic flow is of Anosov type

Ukai, Tetsuo

doi:10.1090/S0002-9939-1988-0962831-3

The visibility axiom on a Hadamard manifold whose geodesic flow is of Anosov type
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by Tetsuo Ukai PDF

Proc. Amer. Math. Soc. 104 (1988), 577-583 Request permission

Abstract:

For a Hadamard manifold $M$, the set of points at infinity $M(\infty )$ is defined. If the geodesic flow on the unit tangent bundle of $M$ is of Anosov type, then with a certain curvature condition $M$ satisfies the Visibility Axiom. To prove this result, we use the Tits metric on $M(\infty )$.

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