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Expansive geodesic flows on surfaces

Published online by Cambridge University Press:  19 September 2008

Miguel Paternain
Miguel Paternain
Affiliation:
IMPA. Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botânico, Rio de Janeiro, Brazil
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Abstract

We prove the following result: if M is a compact Riemannian surface whose geodesic flow is expansive, then M has no conjugate points. This result and the techniques of E. Ghys imply that all expansive geodesic flows of a compact surface are topologically equivalent.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 1 , March 1993 , pp. 153 - 165
Copyright
Copyright © Cambridge University Press 1993

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References

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