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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…
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…
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…
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…