2 papers
math.DS2025
On the creation of conjugate points for thermostats
Javier Echevarría Cuesta, James Marshall Reber
Let be a closed oriented Riemannian surface, and let be its unit tangent bundle. We show that the interior in the 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…