Non-standard couples of angles of rotations - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2012

Non-standard couples of angles of rotations

Résumé

Let M be a smooth compact connected manifold, on which there exists an effective smooth circle action preserving a positive smooth volume. We show that on M, the smooth closure of the smooth volume-preserving conjugation class of some Liouville rotations of angle alpha contains a smooth volume-preserving diffeomorphism T that is metrically isomorphic to an irrational rotation of angle beta on the circle, with alpha different of beta, and with alpha and beta chosen either rationally dependent or rationally independent. In particular, if M is the closed annulus, M admits a smooth ergodic pseudo-rotation T of angle alpha that is metrically isomorphic to the rotation of angle beta. Moreover, T is smoothly tangent to the rotation of angle alpha on the boundary of M.
Fichier principal
Vignette du fichier
rotisom.pdf (391.83 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00669028 , version 1 (12-02-2012)

Identifiants

  • HAL Id : hal-00669028 , version 1

Citer

Mostapha Benhenda. Non-standard couples of angles of rotations. 2012. ⟨hal-00669028⟩
181 Consultations
133 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More