A nonextension result on the spectral metric

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dc.creatorHan, Zhigang
dc.date2008-05-07
dc.date.accessioned2026-07-07T09:37:37Z
dc.date.available2026-07-07T09:37:37Z
dc.descriptionThe spectral metric, defined by Schwarz and Oh using Floer-theoretical method, is a bi-invariant metric on the Hamiltonian diffeomorphism group. We show in this note that for certain symplectic manifolds, this metric can not be extended to a bi-invariant metric on the full group of symplectomorphisms. We also study the bounded isometry conjecture of Lalonde and Polterovich in the context of the spectral metric. In particular, we show that the conjecture holds for the torus with all linear symplectic forms.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0805.1045
dc.identifierhttp://arxiv.org/abs/0805.1045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160524
dc.subjectSymplectic Geometry
dc.subject53D35; 53D40
dc.titleA nonextension result on the spectral metric
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