English

Constant mean curvature surfaces with three ends

Differential Geometry 2009-10-31 v1

Abstract

We announce the classification of complete, almost embedded surfaces of constant mean curvature, with three ends and genus zero: they are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.

Keywords

Cite

@article{arxiv.math/9903101,
  title  = {Constant mean curvature surfaces with three ends},
  author = {Karsten Grosse-Brauckmann and Robert B. Kusner and John M. Sullivan},
  journal= {arXiv preprint arXiv:math/9903101},
  year   = {2009}
}

Comments

LaTex, 4 pages, 1 postscript figure