Geodesics in the compactly supported Hamiltonian diffeomorphism group
type: Item
instance of: scholarly article
title: Geodesics in the compactly supported Hamiltonian diffeomorphism group
zbMATH Open document ID: 0843.58022
DOI: 10.1007/BF02572615
published in: Mathematische Zeitschrift
publication date: 1996-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/174810
review text: In this paper, geodesics in the group \({\mathcal D}\) of compactly supported Hamiltonian diffeomorphisms under Hofer's metric \(d\) are studied. We construct a family of geodesics with constant speeds in \(({\mathcal D},d)\) generated by time-dependent Hamiltonian functions.
Mathematics Subject Classification ID: 58E10
Mathematics Subject Classification ID: 58D05
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 856565
zbMATH Keywords: Hamiltonian diffeomorphism group
zbMATH Keywords: Hofer's metric
zbMATH Keywords: time dependent Hamiltonians
zbMATH Keywords: geodesics
author: Yiming Long
reviewed by: Yiming Long
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 856565