On constant mean curvature surfaces with periodic metric
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
We investigate CMC-surfaces with periodic metric in a dressing orbit of the cylinder. It is shown, that such surfaces are always of finite type. Using the periodicity conditions for the extended frame of a CMC-surface, we develop an alternative approach to the classification of CMC-tori given by Pinkall and Sterling.
Keywords
Cite
@article{arxiv.dg-ga/9609006,
title = {On constant mean curvature surfaces with periodic metric},
author = {Josef Dorfmeister and Guido Haak},
journal= {arXiv preprint arXiv:dg-ga/9609006},
year = {2008}
}
Comments
42 pages, LaTeX+amscd package, no figures