paper

Robust transitivity of geodesic flows from metrics with conjugate points

arXiv:2607.03319

Abstract

In this article, we prove a general criterion for obtaining robust transitivity of partially hyperbolic geodesic flows. As a consequence, we exhibit the first example of a open set of Riemannian metrics with conjugate points and transitive geodesic flow. In particular, such a set does not intersect the set of Riemannian metrics with Anosov geodesic flows.

25 pages

Robust transitivity of geodesic flows from metrics with conjugate points · wovepaper