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Integrability of invariant metrics on the Virasoro group
Department of Mathematics, Lund University, 22100 Lund, Sweden .ORCID iD: 0000-0001-6191-7769
2006 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 350, no 1-2, 75-80 p.Article in journal (Refereed) Published
Abstract [en]

Each right-invariant metric on the Virasoro group induces a Hamiltonian vector field on the dual of the Lie algebra vir equipped with the canonical Lie-Poisson structure. We show that the Hamiltonian vector fields Xk induced by the metrics given at the identity by the Hk Sobolev inner products, k≥0, are bi-Hamiltonian relative to a modified Lie-Poisson structure only for k=0 and k=1.

Place, publisher, year, edition, pages
2006. Vol. 350, no 1-2, 75-80 p.
Keyword [en]
Bi-Hamiltonian structures, Virasoro group
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:kth:diva-163837DOI: 10.1016/j.physleta.2005.10.011ISI: 000234935400013Scopus ID: 2-s2.0-30644471049OAI: oai:DiVA.org:kth-163837DiVA: diva2:802355
Note

QC 20150413

Available from: 2015-04-12 Created: 2015-04-12 Last updated: 2017-12-04Bibliographically approved

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Lenells, Jonatan

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