On closed finite gap curves in spaceforms I

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2020-03
Authors
Klein, Sebastian
Kilian, Martin
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National Academy of Science of Ukraine
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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.
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Closed finite gap curves , Integrable systems , Nonlinear Schrödinger equation
Citation
Klein, S. and Kilian, M. (2020) 'On closed finite gap curves in spaceforms I', Symmetry Integrability and Geometry-Methods and Applications: SIGMA, 16 (2020), 011 (29 pp).
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