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On a conjecture about expansive geodesic flows

Published online by Cambridge University Press:  19 September 2008

Rafael Oswaldo Ruggierot
Rafael Oswaldo Ruggierot
Affiliation:
Pontificia Universidade Catolica do Rio de Janeiro, P. U. C. Departamento de Matemática, Rua Margués de São Vicente 225 Gávea, 22453, Rio de Janeiro, Brasil (e-mail: [email protected]_rio.br)
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Abstract

We show that near the geodesic flow of a compact Riemannian manifold with no conjugate points which is expansive, every expansive geodesic flow has no conjugate points. We also prove that in the above hypotheses the geodesic flow istopologically stable.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 3 , June 1996 , pp. 545 - 553
Copyright
Copyright © Cambridge University Press 1996

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References

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