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Regularity at infinity of compact negatively curved manifolds

Published online by Cambridge University Press:  19 September 2008

Ursula Hamenstädt
Ursula Hamenstädt
Affiliation:
Mathematisches Institut der Universität Bonn, Beringstrasse 1, 5300 Bonn, Germany
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Abstract

It is shown that three different notions of regularity for the stable foliation on the unit tangent bundle of a compact manifold of negative curvature are equivalent. Moreover if is a time-preserving conjugacy of geodesic flows of such manifolds M, N then the Lyapunov exponents at corresponding periodic points of the flows coincide. In particular Δ also preserves the Lebesgue measure class.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 14 , Issue 3 , September 1994 , pp. 493 - 514
Copyright
Copyright © Cambridge University Press 1994

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