On closed finite gap curves in spaceforms II
Abstract We prove that the set of closed finite gap curves in hyperbolic 3-space $\mathbb{H}^{3}$ is $W^{2,2}$-dense in the Sobolev space of all closed $W^{2,2}$-curves in $\mathbb{H}^{3}$. We also show that the set of closed finite gap curves in any two-dimensional space form $\mathbb{E}^{2}$ is $W^{2,2}$-dense in the Sobolev space of all closed $W^{2,2}$-curves in $\mathbb{E}^{2}$.
2012 ◽
Vol 174-177
◽
pp. 2180-2183
Keyword(s):
2017 ◽
Vol 9
(6)
◽
pp. 06006-1-06006-8
Keyword(s):
2020 ◽
Vol 14
(6)
◽
pp. 1232-1239
Keyword(s):
Keyword(s):
Keyword(s):