On the creation of conjugate points for thermostats
Abstract
Abstract Let ( M , g ) be a closed oriented Riemannian surface and let SM be its unit tangent bundle. We show that the interior in the C 2 -topology of the set of smooth functions λ : S M → R for which the thermostat ( M , g , λ ) has no conjugate points is a subset of those functions for which the thermostat is projectively Anosov. Moreover, we prove that if a reversible thermostat is projectively Anosov, then its non-wandering set contains no conjugate points.
Fields of Study & Subjects
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Publication details
- Journal / source
- Nonlinearity
- Volume
- 39
- Issue
- 4
- Pages
- 045003–045003
- Publication date
- 7 April 2026
- Language
- EN