Geodesic
On Closed Finite Gap Curves in Spaceforms I
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We show that the spaces of closed finite gap curves in ${\mathbb R}^3$ and ${\mathbb S}^3$ are dense with respect to the Sobolev $W^{2,2}$-norm in the spaces of closed curves in ${\mathbb R}^3$ respectively ${\mathbb S}^3$.
Keywords: closed finite gap curves, integrable systems, nonlinear Schrödinger equation, asymptotic estimates. 
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     author = {Sebastian Klein and Martin Kilian},
     title = {On {Closed} {Finite} {Gap} {Curves} in {Spaceforms~I}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a10/}
}
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Sebastian Klein; Martin Kilian. On Closed Finite Gap Curves in Spaceforms I. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a10/

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