On Closed Finite Gap Curves in Spaceforms I

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dc.contributor.authorKlein, Sebastian
dc.contributor.authorKilian, Martin
dc.date.accessioned2025-12-12T10:36:47Z
dc.date.issued2020
dc.description.abstractWe show that the spaces of closed finite gap curves in ℝ³ and S³ are dense with respect to the Sobolev W²'²-norm in the spaces of closed curves in ℝ³, respectively S³.
dc.description.sponsorshipWe thank Martin U. Schmidt for useful discussions and his idea of using perturbed Fourier coefficients. We also thank the referees for their insightful remarks and helpful suggestions that improved the final presentation of the results in this paper. Sebastian Klein is funded by the Deutsche Forschungsgemeinschaft, Grant 414903103.
dc.identifier.citationOn Closed Finite Gap Curves in Spaceforms I. Sebastian Klein and Martin Kilian. SIGMA 16 (2020), 011, 29 pages
dc.identifier.doihttps://doi.org/10.3842/SIGMA.2020.011
dc.identifier.issn1815-0659
dc.identifier.other2020 Mathematics Subject Classification: 53A04; 37K10; 30D15; 46E35; 22E46
dc.identifier.otherarXiv:1801.07032
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/210599
dc.language.isoen
dc.publisherІнститут математики НАН України
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlier
dc.titleOn Closed Finite Gap Curves in Spaceforms I
dc.typeArticle

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Symmetry, Integrability and Geometry: Methods and Applications, 2020, том 16, випуск за цей рік