Revista Matemática Iberoamericana


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Volume 35, Issue 1, 2019, pp. 1–22
DOI: 10.4171/rmi/1048

Published online: 2018-12-31

The conjugation method in symplectic dynamics

Luis Hernández-Corbato[1] and Francisco Presas[2]

(1) Universidad Autónoma de Madrid, Spain
(2) Universidad Autónoma de Madrid, Spain

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

Keywords: Contactomorphism, symplectomorphism, minimal, strictly ergodic

Hernández-Corbato Luis, Presas Francisco: The conjugation method in symplectic dynamics. Rev. Mat. Iberoam. 35 (2019), 1-22. doi: 10.4171/rmi/1048