An entropic characterization of the flat metrics on the two torus
نویسندگان
چکیده
Thegeodesic flowof theflatmetric on a torus isminimizing the polynomial entropy among all geodesic flows on this torus. We prove here that this properties characterises the flat metric on the two torus. Résumé Leflot géodésique desmétriques plates sur un toreminimise l’entropie polynomiale parmi tous les flots géodésique sur ce tore. On montre ici que cette propriété caractérise les métriques plates en dimension deux.
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