Curvature estimates for constant mean curvature surfaces

Abstract

We derive extrinsic curvature estimates for compact disks embedded in ${\mathbb{R}}^3$ with nonzero constant mean curvature.

We have separated the original paper into two parts. This new posting is the first part which is self-contained and deals with extrinsic curvature estimates for embedded nonzero constant mean curvature disks. The second part is now the paper arXiv:1609.08032

References in corpus (6)

• General curvature estimates for stable H-surfaces in 3-manifolds and applications
• The space of embedded minimal surfaces of fixed genus in a 3-manifold I; Estimates off the axis for disks
• The space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks
• Chord arc properties for constant mean curvature disks
• Non-proper complete minimal surfaces embedded in H^2 x R
• The geometry of constant mean curvature surfaces in ${\mathbb{R}}^3$

Cited by in corpus (2)

• Chord arc properties for constant mean curvature disks
• Embeddedness of the solutions to the H-Plateau Problem