The geometry of constant mean curvature surfaces in $\mathbb{R}^3$

William H. Meeks; Giuseppe Tinaglia

The geometry of constant mean curvature surfaces in $\mathbb{R}^3$

Differential Geometry 2016-09-27 v1

Authors: William H. Meeks , Giuseppe Tinaglia

Abstract

We derive intrinsic curvature and radius estimates for compact disks embedded in $\mathbb{R}^3$ with nonzero constant mean curvature and apply these estimates to study the global geometry of complete surfaces embedded in $\mathbb{R}^3$ with nonzero constant mean curvature.

Keywords

constant mean curvature curvature estimates radius estimates compact disks global geometry

Cite

@article{arxiv.1609.08032,
  title  = {The geometry of constant mean curvature surfaces in $\mathbb{R}^3$},
  author = {William H. Meeks and Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:1609.08032},
  year   = {2016}
}

Comments

The results of this paper were originally contained in our previous posting: arXiv:1502.06110v2. This paper, namely arXiv:1502.06110v2, has been divided into two papers of which the present paper is the second part

Related papers

View all related →