Embedded Constant Mean Curvature Surfaces in Euclidean Three Space
Differential Geometry
2012-10-15 v1 Analysis of PDEs
Abstract
In this paper we refine the construction and related estimates for complete Constant Mean Curvature surfaces in Euclidean three-space developed in Kapouleas (1990) by adopting the more precise and powerful version of the methodology which was developed in Kapouleas (1995). As a consequence we remove the severe restrictions in establishing embeddedness for complete Constant Mean Curvature surfaces in Kapouleas (1990) and we produce a very large class of new embedded examples of finite topology.
Keywords
Cite
@article{arxiv.1210.3394,
title = {Embedded Constant Mean Curvature Surfaces in Euclidean Three Space},
author = {Christine Breiner and Nikolaos Kapouleas},
journal= {arXiv preprint arXiv:1210.3394},
year = {2012}
}
Comments
6 figures