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

Published online by Cambridge University Press:  19 September 2008

Masahiko Kanai
Masahiko Kanai
Affiliation:
Department of Mathematics, Keio University, Yokohama 223, Japan
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Abstract

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We are concerned with closed C∞ riemannian manifolds of negative curvature whose geodesic flows have C∞ stable and unstable foliations. In particular, we show that the geodesic flow of such a manifold is isomorphic to that of a certain closed riemannian manifold of constant negative curvature if the dimension of the manifold is greater than two and if the sectional curvature lies between − and −1 strictly.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 2 , June 1988 , pp. 215 - 239
Copyright
Copyright © Cambridge University Press 1988

References

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