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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210599 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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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| ISSN: | 1815-0659 |