The conjugation method in symplectic dynamics

  1. Francisco Presas 1
  2. Luis Hernández-Corbato 1
  1. 1 Universidad Autónoma de Madrid
    info

    Universidad Autónoma de Madrid

    Madrid, España

    ROR https://ror.org/01cby8j38

Journal:
Revista matemática iberoamericana

ISSN: 0213-2230

Year of publication: 2019

Volume: 35

Issue: 1

Pages: 1-22

Type: Article

DOI: 10.4171/RMI/1048 DIALNET GOOGLE SCHOLAR

More publications in: Revista matemática iberoamericana

Abstract

We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free S1-action by symplectomorphisms and contactomorphisms, respectively. The proof adapts the conjugation method, introduced by Anosov and Katok, to the contact and symplectic setting.

Data source: Dialnet