On Closed Finite Gap Curves in Spaceforms I

We 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.

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
Hauptverfasser: Klein, Sebastian, Kilian, Martin
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/210599
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:On Closed Finite Gap Curves in Spaceforms I. Sebastian Klein and Martin Kilian. SIGMA 16 (2020), 011, 29 pages

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