The Weierstrass representation of closed surfaces in $R^3$
dg-ga
2007-05-23 v3 Differential Geometry
Abstract
In the present paper which a sequel to dg-ga/9511005 and dg-ga//9610013 a global Weierstrass representation of an arbitrary closed oriented surface of genus in the the three-space is constructed. The Weierstrass spectrum of a torus immersed into is introduced and finite-zone planes as well as finite-zone solutions to the modified Novikov-Veselov equations are constructed.
Cite
@article{arxiv.dg-ga/9710020,
title = {The Weierstrass representation of closed surfaces in $R^3$},
author = {Iskander A. Taimanov},
journal= {arXiv preprint arXiv:dg-ga/9710020},
year = {2007}
}
Comments
15 pages, LaTeX; Preprint no. 291, SFB 288, TU-Berlin