3 papers
math.DS2026
Robust transitivity of geodesic flows from metrics with conjugate points
Ygor de Jesus, Luis Pedro Piñeyrúa, Sergio Romaña
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 op…
math.DS2025
Some hyperbolicity revisited and robust transitivity
Luis Pedro Piñeyrúa
In this article we revisit the notion of \textit{Some Hyperbolicity} introduced by Pujals and Sambarino in \cite{PuSa}. We present a more general definition, that in particular can…
math.DS2024
Partially hyperbolic geodesic flow via conformal deformation
Ygor de Jesus, Luis Pedro Piñeyrúa, Sergio Romaña
This paper presents a new construction of non-Anosov Partially Hyperbolic Geodesic flows. Our construction is closely related to the construction made by Carneiro and Pujals, the n…