On closed finite gap curves in spaceforms I
Abstract
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 $\mathbb{S}^3$.
 Publication:

arXiv eprints
 Pub Date:
 January 2018
 arXiv:
 arXiv:1801.07032
 Bibcode:
 2018arXiv180107032K
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Dynamical Systems;
 53A04;
 37K10;
 30D15;
 46E35;
 22E46
 EPrint:
 27 pages. Revised version