Javier Echevarría Cuesta

collaborators

3 papers

math.DS2025

On the creation of conjugate points for thermostats

Javier Echevarría Cuesta, James Marshall Reber

Let $(M, g)$ be a closed oriented Riemannian surface, and let $S M$ be its unit tangent bundle. We show that the interior in the $C^{2}$ topology of the set of smooth functi…

math.DS2025

Thermostats without conjugate points

Javier Echevarría Cuesta, James Marshall Reber

We generalize Hopf's theorem to thermostats: the total thermostat curvature of a thermostat without conjugate points is non-positive and vanishes only if the thermostat curvature i…

math.DS2024

Smooth orbit equivalence rigidity for dissipative geodesic flows

Javier Echevarría Cuesta

Let $M$ be a smooth closed oriented surface. Gaussian thermostats on $M$ correspond to the geodesic flows arising from metric connections, including those with non-zero torsion. Th…