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The autonomous norm on \({\text {Ham}}\left( {\mathbf R}^{2n} \right) \) is bounded

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Abstract

We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard \({\mathbf R}^{2n}\) is bounded.

Résumé

Nous montrons que la norme autonome sur le groupe des difféomorphismes Hamiltoniens à support compact de \(\mathbf R ^{2n}\) standard est bornée.

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Acknowledgments

We thank the Center for Advanced Studies in Mathematics at Ben Gurion University for supporting the visit of the second author at BGU. We also thank the anonymous referee for useful comments.

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Authors and Affiliations

  1. Ben Gurion University, Beer Sheva, Israel

    Michael Brandenbursky

  2. University of Aberdeen, Aberdeen, UK

    Jarek Kędra

  3. University of Szczecin, Szczecin, Poland

    Jarek Kędra

Authors
  1. Michael Brandenbursky
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  2. Jarek Kędra
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Correspondence to Michael Brandenbursky.

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Brandenbursky, M., Kędra, J. The autonomous norm on \({\text {Ham}}\left( {\mathbf R}^{2n} \right) \) is bounded. Ann. Math. Québec 41, 63–65 (2017). https://doi.org/10.1007/s40316-016-0065-7

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  • DOI: https://doi.org/10.1007/s40316-016-0065-7

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