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Dynamics of the geodesic flow of a foliation

Published online by Cambridge University Press:  19 September 2008

Paweł G. Walczak
Paweł G. Walczak
Affiliation:
University of Łódź, Institute of Mathematics, Banacha 22, PL 90238 Łódź, Poland
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Abstract

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The geodesic flow of a foliated Riemannian manifold (M, F) is studied. The invariance of some smooth measure is established under some geometrical conditions on F. The Lyapunov exponents and the entropy of this flow are estimated. As an application, the non-existence of foliations with ‘short’ second fundamental tensors is obtained on compact negatively curved manifolds.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 4 , December 1988 , pp. 637 - 650
Copyright
Copyright © Cambridge University Press 1988

References

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