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arXiv · 2607.03319

Robust transitivity of geodesic flows from metrics with conjugate points

Ygor de Jesus·Luis Pedro Piñeyrúa·Sergio Romaña
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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 $C^2$ 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.

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Ygor de Jesus, Luis Pedro Piñeyrúa, Sergio Romaña. 2026-07-03. Robust transitivity of geodesic flows from metrics with conjugate points. https://arxiv.org/abs/2607.03319

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