2 papers
math.DS2025
Closed geodesics and the first Betti number
Gonzalo Contreras, Marco Mazzucchelli
We prove that, on any closed manifold of dimension at least two with non-trivial first Betti number, a generic Riemannian metric has infinitely many closed geodesics, an…
math.DS2024
Minimization and Hyperbolicity
Gonzalo Contreras, Daniel Offin
In this paper we study the relationship between the strict locally minimizing orbits for time dependent lagrangian systems and hyperbolicity properties of the corresponding lagrang…