Constant mean curvature surfaces of any positive genus
Differential Geometry
2007-05-23 v1
Abstract
We show the existence of several new families of non-compact constant mean curvature surfaces: (i) singly-punctured surfaces of arbitrary genus , (ii) doubly-punctured tori, and (iii) doubly periodic surfaces with Delaunay ends.
Keywords
Cite
@article{arxiv.math/0403381,
title = {Constant mean curvature surfaces of any positive genus},
author = {S-P Kobayashi and M Kilian and W Rossman and N Schmitt},
journal= {arXiv preprint arXiv:math/0403381},
year = {2007}
}
Comments
14 pages, 10 figures