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Geodesic flow of visibility manifolds

Published online by Cambridge University Press:  09 April 2009

Hyun Jung Kim
Hyun Jung Kim
Affiliation:
Department of Mathematics, Hoseo University, Baebang Myun, Asan 337-795, Korea e-mail: [email protected]
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Abstract

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We prove that the conservativity of the geodesic flow is equivalent to the ergodicity of the geodesic flow with respect to the Bowen-Margulis measure on visibility manifolds.

Keywords

Fuchsian groupvisibility manifoldBowen Margulis measuregeodesic flow
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 1 , August 2004 , pp. 129 - 140
Copyright
Copyright © Australian Mathematical Society 2004

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