On Closed Finite Gap Curves in Spaceforms I

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Klein, Sebastian, Kilian, Martin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210599
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Closed Finite Gap Curves in Spaceforms I. Sebastian Klein and Martin Kilian. SIGMA 16 (2020), 011, 29 pages

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.