3 papers
math.DS2026
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…
math.DS2026
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…
math.DS2024
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…