Annales mathématiques du Québec

, Volume 41, Issue 1, pp 63–65 | Cite as

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.

Keywords

Hamiltonian diffeomorphisms Autonomous norm 

Résumé

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

Mathematics Subject Classification

Primary 53 Secondary 57 

Notes

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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Copyright information

© Fondation Carl-Herz and Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Ben Gurion UniversityBeer ShevaIsrael
  2. 2.University of AberdeenAberdeenUK
  3. 3.University of SzczecinSzczecinPoland

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