On closed finite gap curves in spaceforms I

Sebastian Klein; Martin Kilian

doi:10.3842/SIGMA.2020.011

On closed finite gap curves in spaceforms I

Sebastian Klein
, Martin Kilian

School of Mathematical Sciences

University of Mannheim

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the spaces of closed finite gap curves in R³ and S³ are dense with respect to the Sobolev W^2,2-norm in the spaces of closed curves in R³ respectively S³.

Original language	English
Article number	011
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	16
DOIs	https://doi.org/10.3842/SIGMA.2020.011
Publication status	Published - 2020

Keywords

Asymptotic estimates
Closed finite gap curves
Integrable systems
Nonlinear Schrödinger equation

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10.3842/SIGMA.2020.011

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abstract = "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.",

keywords = "Asymptotic estimates, Closed finite gap curves, Integrable systems, Nonlinear Schr{\"o}dinger equation",

author = "Sebastian Klein and Martin Kilian",

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AU - Kilian, Martin

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KW - Asymptotic estimates

KW - Closed finite gap curves

KW - Integrable systems

KW - Nonlinear Schrödinger equation

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DO - 10.3842/SIGMA.2020.011

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JO - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

JF - Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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On closed finite gap curves in spaceforms I

Abstract

Keywords

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