Explicit geodesic flow-invariant distributions using -representation ladders.

Alvarez-Parrilla, Alvaro

Displaying similar documents to “Explicit geodesic flow-invariant distributions using ${SL}_{2} (ℝ)$ -representation ladders.”

On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows

Marco Brunella (1994)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows

Artur Avila, Marcelo Viana, Amie Wilkinson (2015)

Journal of the European Mathematical Society

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We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.