English

Curvature estimates for constant mean curvature surfaces

Differential Geometry 2019-12-19 v3

Abstract

We derive extrinsic curvature estimates for compact disks embedded in R3\mathbb{R}^3 with nonzero constant mean curvature.

Keywords

Cite

@article{arxiv.1502.06110,
  title  = {Curvature estimates for constant mean curvature surfaces},
  author = {William H. Meeks and Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:1502.06110},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-22T08:34:36.258Z