33 citations · 215 across the 34 of their papers we have counts for
3 papers · 1 filter
Existence of Birkhoff sections for Kupka-Smale Reeb flows of closed contact 3-manifolds
Gonzalo Contreras, Marco Mazzucchelli
A Reeb vector field satisfies the Kupka-Smale condition when all its closed orbits are non-degenerate, and the stable and unstable manifolds of its hyperbolic closed orbits interse…
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…
Higher systolic inequalities for 3-dimensional contact manifolds
Alberto Abbondandolo, Christian Lange, Marco Mazzucchelli
A contact form is called Besse when the associated Reeb flow is periodic. We prove that Besse contact forms on closed connected 3-manifolds are the local maximizers of suitable hig…