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

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.

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

Cited by in corpus (2)

• Curvature estimates for constant mean curvature surfaces
• Chord arc properties for constant mean curvature disks