2 papers
math.DG2024
Surfaces of section for geodesic flows of closed surfaces
Gonzalo Contreras, Gerhard Knieper, Marco Mazzucchelli +1
We prove several results concerning the existence of surfaces of section for the geodesic flows of closed orientable Riemannian surfaces. The surfaces of section that we const…
math.DS2024
Proof of the -stability conjecture for geodesic flows of closed surfaces
Gonzalo Contreras, Marco Mazzucchelli
We prove that a -generic Riemannian metric on a closed surface has either an elliptic closed geodesic or an Anosov geodesic flow. As a consequence, we prove the -stabilit…