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Conditional measure and flip invariance of Bowen-Margulis and harmonic measures on manifolds of negative curvature

Published online by Cambridge University Press:  19 September 2008

Chengbo Yue
Chengbo Yue
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
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Abstract

Kifer and Ledrappier have asked whether the harmonic measures {νx} on manifolds of negative curvature are equivalent to the conditional measures of the harmonic measure v of the geodesic flow associated with the fibration {SxM}x∈M. We settle this question with a rigidity result. We also clear up the same problem concerning the Patterson-Sullivan measure and the Bowen–Margulis measure.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 4 , August 1995 , pp. 807 - 811
Copyright
Copyright © Cambridge University Press 1995

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References

REFERENCES

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