TITLE

Singularity of Projections of 2-Dimensional Measures Invariant Under the Geodesic Flow

AUTHOR(S)
Hovila, Risto; Järvenpää, Esa; Järvenpää, Maarit; Ledrappier, François
PUB. DATE
May 2012
SOURCE
Communications in Mathematical Physics;May2012, Vol. 312 Issue 1, p127
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
74575611

 

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