"Interesting" dynamical properties for the geodesic flow beyond the Anosov setting.

par Ygor De Jesus

lundi 9 nov. 2026, 14:00 → 15:00 Europe/Paris

Salle de séminaires IRMA

Anosov geodesic flows have been the model to study several dynamical dynamical properties and to develop techniques to approach question arising from ergodic theory. There are several possibilities to generalize the Anosov setting, for example rank 1 Riemannian metrics and Riemannian metrics with no conjugate points, and one of the most frequent questions is "can you still get the same, at some extend, dynamical and ergodic properties". In a recent joint work with Luis Piñeyrúa and Sergio Romaña we propose the approach via partially hyperbolic systems. In this talk, I am going to present some of the Anosov geodesic flows properties that we are able to extend to some non-Anosov geodesic flows.