The autonomous norm on Ham(R2n) is bounded

Michael Brandenbursky; Jarek Kedra

doi:10.1007/s40316-016-0065-7

The autonomous norm on Ham(R2n) is bounded

Michael Brandenbursky, Jarek Kedra

Research output: Contribution to journal › Article › peer-review

6 Downloads (Pure)

Abstract

We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard R²ⁿ is bounded.

Original language	English
Pages (from-to)	63-65
Number of pages	3
Journal	Annales mathématiques du Québec
Volume	41
Issue number	1
Early online date	16 Jul 2016
DOIs	https://doi.org/10.1007/s40316-016-0065-7
Publication status	Published - Apr 2017

Keywords

Hamiltonian diffeomorphisms
Autonomous norm

Access to Document

10.1007/s40316-016-0065-7Licence: Unspecified

Accepted Manuscript
The final publication is available at Springer via http://dx.doi.org/10.1007/s40316-016-0065-7
Accepted author manuscript, 71.1 KBLicence: Unspecified

Fingerprint Dive into the research topics of 'The autonomous norm on Ham(R2n) is bounded'. Together they form a unique fingerprint.

Cite this

@article{423af5445a7d4f26857fc87a883899f5,

title = "The autonomous norm on Ham(R2n) is bounded",

abstract = "We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard R2n is bounded.",

keywords = "Hamiltonian diffeomorphisms, Autonomous norm",

author = "Michael Brandenbursky and Jarek Kedra",

note = "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.",

year = "2017",

month = apr,

doi = "10.1007/s40316-016-0065-7",

language = "English",

volume = "41",

pages = "63--65",

journal = "Annales math{\'e}matiques du Qu{\'e}bec",

issn = "2195-4755",

publisher = "Springer ",

number = "1",

}

TY - JOUR

T1 - The autonomous norm on Ham(R2n) is bounded

AU - Brandenbursky, Michael

AU - Kedra, Jarek

N1 - 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.

PY - 2017/4

Y1 - 2017/4

N2 - We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard R2n is bounded.

AB - We prove that the autonomous norm on the group of compactly supported Hamiltonian diffeomorphisms of the standard R2n is bounded.

KW - Hamiltonian diffeomorphisms

KW - Autonomous norm

U2 - 10.1007/s40316-016-0065-7

DO - 10.1007/s40316-016-0065-7

M3 - Article

VL - 41

SP - 63

EP - 65

JO - Annales mathématiques du Québec

JF - Annales mathématiques du Québec

SN - 2195-4755

IS - 1

ER -