On closed finite gap curves in spaceforms II

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dc.contributor.authorKlein, Sebastian
dc.contributor.authorKilian, Martin
dc.contributor.funderDeutsche Forschungsgemeinschaft
dc.date.accessioned2023-10-10T08:33:33Z
dc.date.available2023-10-04T13:58:48Zen
dc.date.available2023-10-10T08:33:33Z
dc.date.issued2020-05-06
dc.date.updated2023-10-04T12:58:49Zen
dc.description.abstractWe prove that the set of closed finite gap curves in hyperbolic 3-space H3 is W2,2-dense in the Sobolev space of all closed W2,2-curves in H3⁠. We also show that the set of closed finite gap curves in any two-dimensional space form E2 is W2,2-dense in the Sobolev space of all closed W2,2-curves in E2. ⁠.
dc.description.sponsorshipDeutsche Forschungsgemeinschaft (414903103)
dc.description.statusPeer revieweden
dc.description.versionPublished Version
dc.format.mimetypeapplication/pdfen
dc.identifier.articleidxyaa002
dc.identifier.citationKlein, S. and Kilian, M. (2020) 'On closed finite gap curves in spaceforms II', Journal of Integrable Systems, 5(1), xyaa002 (25pp). doi: 10.1093/integr/xyaa002
dc.identifier.doi10.1093/integr/xyaa002
dc.identifier.eissn2058-5985
dc.identifier.endpage25
dc.identifier.issued1
dc.identifier.journaltitleJournal of Integrable Systems
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/10468/15088
dc.identifier.volume5
dc.language.isoenen
dc.publisherOxford University Press
dc.rights© 2020, the authors. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited. For commercial re-use, please contact journals.permissions@oup.com
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subjectIntegrable systems
dc.subjectFinite gap
dc.subjectNon-linear Schroedinger equation
dc.subjectBacklund transformation
dc.titleOn closed finite gap curves in spaceforms IIen
dc.typeArticle (peer-reviewed)
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