On closed finite gap curves in spaceforms I
National Academy of Science of Ukraine
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.
Closed finite gap curves , Integrable systems , Nonlinear Schrödinger equation
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).