On the autonomous metric on the groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces

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dc.bibliographicCitation.seriesTitleOberwolfach Preprints (OWP)eng
dc.bibliographicCitation.volume2013-18
dc.contributor.authorBrandenbursky, Michael
dc.date.available2019-06-28T08:23:09Z
dc.date.issued2013
dc.description.abstractLet g be a closed hyperbolic surface of genus g and let Ham g be the group of Hamiltonian diffeomorphisms of g. The most natural word metric on this group is the autonomous metric. It has many interesting properties, most important of which is the bi-invariance of this metric. In this work we show that Ham g is unbounded with respect to this metriceng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn1864-7596
dc.identifier.urihttps://doi.org/10.34657/2838
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3352
dc.language.isoengeng
dc.publisherOberwolfach : Mathematisches Forschungsinstitut Oberwolfacheng
dc.relation.doihttps://doi.org/10.14760/OWP-2013-18
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherGroups of Hamiltonian diffeomorphismseng
dc.subject.othermapping class groupseng
dc.subject.otherquasi-morphismseng
dc.subject.otherbi-invariant metricseng
dc.titleOn the autonomous metric on the groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaceseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorMFOeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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