4 papers · 1 filter
Isolated Flat Points and -Robustness of the No Focal Points Property
Alexander Cantoral, Sergio Romaña
We prove a local stability criterion for the no focal points property on compact Riemannian surfaces. More precisely, if a smooth metric has non-positive Gaussian curvature and…
Ruelle's inequality and the Pesin formula for geodesic flows on manifolds without conjugate points
Alexander Cantoral, Sergio Romaña
In this paper, we prove the existence of Lyapunov exponents for the geodesic flow on complete Riemannian manifolds without conjugate points whose sectional curvature is bounded bel…
Ruelle's inequality and Pesin's formula for Anosov geodesic flows in non-compact manifolds
Alexander Cantoral, Sergio Romaña
In this paper, we prove Ruelle's inequality for the geodesic flow in non-compact manifolds with Anosov geodesic flow and some assumptions on the curvature. In the same way, we obta…
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…