JournalsrmiVol. 35, No. 1pp. 1–22

The conjugation method in symplectic dynamics

  • Luis Hernández-Corbato

    Universidad Autónoma de Madrid, Spain

  • Francisco 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