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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
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.
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- Copyright © Cambridge University Press 1995
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