most citedA note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

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…

math.DS2024

Rigidity of Lyapunov Exponents for Geodesic Flows

Nestor Nina Zarate, Sergio Romaña

In this paper, we study rigidity problems between Lyapunov exponents along periodic orbits and geometric structures. More specifically, we prove that for a surface M without focal…

math.DS20241 cited

A note on the density of periodic orbits of Anosov geodesic flow in manifolds of finite volume

Nestor Nina Zarate, Sergio Romaña

In this paper, we prove that manifolds of finite volume with Anosov geodesic flow have dense periodic orbits. The same result works for conservative Anosov flows in non-compact cas…

math.DS2023

Typical conservative homeomorphisms have total metric mean dimension

Gabriel Lacerda, Sergio Romaña

Given a compact smooth boundaryless manifold with dimension greater than one endowed with a locally positive non-atomic measure , we prove that typical -preserving homeomorph…

math.DS2023

Geometric conditions to obtain Anosov geodesic flow in non-compact manifolds

Alexander Cantoral, Sergio Romaña

Let be a complete Riemannian manifold without focal points and curvature bounded below. We prove that when the average of the sectional curvature in tangent planes along g…