collaborators

5 papers

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…

math.DS2024

Generic hyperbolic Mañé sets have zero entropy

Gonzalo Contreras

We prove that in the topology generic hyperbolic Mañé sets have zero topological entropy.

math.DS2024

Proof of the Mañé's conjecture on surfaces

Gonzalo Contreras

We prove that generic hyperbolic Mañé sets contain a periodic periodic orbit. In dimension 2, adding a result by Contreras, Figalli, Rifford, which states that generic…

math.DS2024

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

Positive topological entropy of Tonelli Lagrangian flows

Gonzalo Contreras, José Antônio G. Miranda, Luiz Gustavo Perona

We study the topological entropy of the Lagrangian flow restricted to an energy level for . We prove that if the flow of the Tonelli Lagrangi…