Meromorphic Potentials and Smooth CMC Surfaces
Abstract
This work is based on the approach developed by J.~Dorfmeister, F.~Pedit and H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps , being the unit disk in , whose images are surfaces of constant mean curvature. They start from certain meromorphic one forms, so called meromorphic potentials, which take values in a twisted loop algebra over . The authors give necessary and sufficient conditions on the meromorphic potential for the constructed map to be an immersion. This revision corrects several misprints and minor TeX problems.
Cite
@article{arxiv.dg-ga/9412007,
title = {Meromorphic Potentials and Smooth CMC Surfaces},
author = {J. Dorfmeister and G. Haak},
journal= {arXiv preprint arXiv:dg-ga/9412007},
year = {2008}
}
Comments
39 pages, LaTeX2e format, LaTeX 2.09 optional, 2 postscript figures not included, they can be obtained via WWW. point your WWW client at: http://poincare.math.ukans.edu/CMC.html This is a revision correcting several misprints and TeX problems