Semi-discrete isothermic surfaces
Differential Geometry
2016-07-22 v1
Abstract
A Darboux transformation for polarized space curves is introduced and its properties are studied, in particular, Bianchi permutability. Semi-discrete isothermic surfaces are described as sequences of Darboux transforms of polarized curves in the conformal n-sphere and their transformation theory is studied. Semi-discrete surfaces of constant mean curvature are studied as an application of the transformation theory.
Cite
@article{arxiv.1506.04730,
title = {Semi-discrete isothermic surfaces},
author = {F. Burstall and U. Hertrich-Jeromin and C. Mueller and W. Rossman},
journal= {arXiv preprint arXiv:1506.04730},
year = {2016}
}
Comments
plain TeX, 12 pages