An entropic characterization of the flat metrics on the two torus

Abstract

The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among all geodesic flows on this torus. We prove here that this properties characterises the flat metric on the two torus.

References in corpus (1)

• Polynomial entropies for Bott nondegenerate Hamiltonian systems

Cited by in corpus (1)

• Ergodic components and topological entropy in geodesic flows of surfaces