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
Homoclinic classes for flows: ergodicity and SRB measures
Ygor de Jesus, Marcielis Espitia, Gabriel Ponce
In this work we intend to study homoclinic classes for some classes of flows. To this end we obtain analogous results those obtained by Hertz-Hertz-Tahzibi-Ures in the flow setting…
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…