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arXiv:1104.2687 [math.DS]AbstractReferencesReviewsResources

Singularity of projections of 2-dimensional measures invariant under the geodesic flow

Risto Hovila, Esa Järvenpää, Maarit Järvenpää, François Ledrappier

Published 2011-04-14Version 1

We show that on any compact Riemann surface with variable negative curvature there exists a measure which is invariant and ergodic under the geodesic flow and whose projection to the base manifold is 2-dimensional and singular with respect to the 2-dimensional Lebesgue measure.

Comments: 12 pages
Categories: math.DS, math-ph, math.DG, math.MP
Subjects: 37C45, 53D25, 37D20, 28A80
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