Hopf type rigidity for thermostats
Yernat M. Assylbekov, Nurlan S. Dairbekov
TL;DR
This paper establishes a Hopf type rigidity result for thermostats without conjugate points on a 2-torus, contributing to the understanding of geometric rigidity in dynamical systems.
Contribution
It introduces a new rigidity theorem for thermostats on a 2-torus lacking conjugate points, extending classical results in geometric dynamics.
Findings
Proves a Hopf type rigidity for thermostats without conjugate points
Shows rigidity results specific to 2-torus geometries
Extends classical rigidity theorems to thermostats
Abstract
We show a Hopf type rigidity for thermostats without conjugate points on a 2-torus
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