English

The conjugation method in symplectic dynamics

Symplectic Geometry 2016-05-31 v1 Dynamical Systems

Abstract

We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free S1\mathbb{S}^1--action by symplectomorphisms and contactomorphisms, respectively. The proof adapts the conjugation method, introduced by Anosov and Katok, to the contact and symplectic setting.

Keywords

Cite

@article{arxiv.1605.09161,
  title  = {The conjugation method in symplectic dynamics},
  author = {Luis Hernández-Corbato and Francisco Presas},
  journal= {arXiv preprint arXiv:1605.09161},
  year   = {2016}
}
R2 v1 2026-06-22T14:12:43.145Z