Entropy rigidity of Anosov flows in dimension 3. - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 1998

Entropy rigidity of Anosov flows in dimension 3.

Résumé

We show that for a smooth contact Anosov flow on a closed three manifold the measure of maximal entropy is in the Lebesgue class if and only if the flow is up to finite covers conjugate to the geodesic flow of a metric of constant negative curvature on a closed surface.This shows that the ratio between the measure theoretic entropy and the topological entropy of a contact Anosov flow is strictly smaller than one on any closed three manifold which is not a Seifert bundle.
Fichier principal
Vignette du fichier
98043.pdf (193.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00129579 , version 1 (08-02-2007)

Identifiants

  • HAL Id : hal-00129579 , version 1

Citer

Patrick Foulon. Entropy rigidity of Anosov flows in dimension 3.. 1998. ⟨hal-00129579⟩
56 Consultations
280 Téléchargements

Partager

Gmail Facebook X LinkedIn More