The conjugation method in symplectic dynamics Articles uri icon

authors

  • HERNANDEZ CORBATO, LUIS
  • PRESAS MATA, FRANCISCO

publication date

  • January 2019

start page

  • 1

end page

  • 22

issue

  • 1

volume

  • 35

International Standard Serial Number (ISSN)

  • 0213-2230

Electronic International Standard Serial Number (EISSN)

  • 2235-0616

abstract

  • We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free 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

  • contactomorphism; symplectomorphism; minimal; strictly ergodic