The conjugation method in symplectic dynamics
Luis Hernández-Corbato
Universidad Autónoma de Madrid, SpainFrancisco Presas
Universidad Autónoma de Madrid, Spain
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Abstract
We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free -action by symplectomorphisms and contactomorphisms, respectively. The proof adapts the conjugation method, introduced by Anosov and Katok, to the contact and symplectic setting.
Cite this article
Luis Hernández-Corbato, Francisco Presas, The conjugation method in symplectic dynamics. Rev. Mat. Iberoam. 35 (2019), no. 1, pp. 1–22
DOI 10.4171/RMI/1048