We consider a Riemannian manifold M with no focal points such that the universal cover contains a geodesic which does not bound a flat totally geodesically embedded half plane. It is shown that (i) If the non-wandering set of the geodesic flow is the whole of SM , then the closed orbits are dense in SM . (ii) If M is compact then the geodesic flow is ergodic and Bernoulli with respect to the Liouville measure on SM
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...
International audienceWe consider the geodesic flow on a complete connected negatively curved manifo...
Let I be the geodesic flow associated with a two-sided invariant metric on a compact Lie group. In t...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
. For any " ? 0, we construct an explicit smooth Riemannian metric on the sphere S n ; n 3,...
International audienceA classic result due to Furstenberg is the strict ergodicity of the horocycle ...
Consider the geodesic flow on a real-analytic closed hypersurface $M$ of $\mathbb{R}^n$, equipped wi...
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geode...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...
International audienceWe consider the geodesic flow on a complete connected negatively curved manifo...
Let I be the geodesic flow associated with a two-sided invariant metric on a compact Lie group. In t...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
International audienceWe give examples of rank one compact surfaces on which there exist recurrent g...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
20 pagesInternational audienceWe study the generic invariant probability measures for the geodesic f...
. For any " ? 0, we construct an explicit smooth Riemannian metric on the sphere S n ; n 3,...
International audienceA classic result due to Furstenberg is the strict ergodicity of the horocycle ...
Consider the geodesic flow on a real-analytic closed hypersurface $M$ of $\mathbb{R}^n$, equipped wi...
Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geode...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
27 pages, no figures.-- MSC2000 codes: 30F20, 30F45.MR#: MR2243795 (2007e:30063)Zbl#: Zbl 1108.30031...