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A note on horospherical points for flows with hyperbolic structure

Published online by Cambridge University Press:  13 May 2005

YVES COUDENE
YVES COUDENE
Affiliation:
IRMAR, Université Rennes 1, campus beaulieu, bat. 23, 35042 Rennes cedex, France (e-mail: [email protected])
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Abstract

We define the concept of horospherical points for flows admitting a local product structure, and show that these points have a dense strong stable set. This generalizes a classical result from G. A. Hedlund, in the context of geodesic flows on negatively curved manifolds.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 3 , June 2005 , pp. 793 - 798
Copyright
2005 Cambridge University Press

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