Curved Flats and Isothermic Surfaces
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We show how pairs of isothermic surfaces are given by curved flats in a pseudo Riemannian symmetric space and vice versa. Calapso's fourth order partial differential equation is derived and, using a solution of this equation, a M\"obius invariant frame for an isothermic surface is built.
Keywords
Cite
@article{arxiv.dg-ga/9411010,
title = {Curved Flats and Isothermic Surfaces},
author = {F. Burstall and U. Hertrich-Jeromin and F. Pedit and U. Pinkall},
journal= {arXiv preprint arXiv:dg-ga/9411010},
year = {2008}
}
Comments
9 pages, AmSLaTeX 1.1, no figures