The Weierstrass representation of closed surfaces in $R^3$
Abstract
Description
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 $\geq 1$ in the the three-space is constructed. The Weierstrass spectrum of a torus immersed into $R^3$ is introduced and finite-zone planes as well as finite-zone solutions to the modified Novikov-Veselov equations are constructed.
15 pages, LaTeX; Preprint no. 291, SFB 288, TU-Berlin
15 pages, LaTeX; Preprint no. 291, SFB 288, TU-Berlin