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On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

On the Pesin set of expansive geodesic flows in manifolds with no conjugate points In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

On the Pesin set of expansive geodesic flows in manifolds with no conjugate points

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Sociedade Brasileira de Matemática
Subject
Mathematics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-003-0012-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, we show that the Pesin set of an expansive geodesic flow in compact manifold with no conjugate points and bounded asymptote coincides a.e with an open and dense set of the unit tangent bundle. We also show that the set of hyperbolic periodic orbits is dense in the unit tangent bundle.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Jan 1, 2003

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