Ergodic Theory and Dynamical Systems

Research Article

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

Masahiko Kanaia1

a1 Department of Mathematics, Keio University, Yokohama 223, Japan

Abstract

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.

(Received April 02 1987)

(Revised August 20 1987)

Footnotes

† Dedicated to Professor Morio Obata on his 60th birthday.