Curvature estimates for constant mean curvature surfaces

WH Meeks III, G Tinaglia - 2019 - projecteuclid.org
Curvature estimates for constant mean curvature surfaces Page 1 CURVATURE ESTIMATES
FOR CONSTANT MEAN CURVATURE SURFACES WILLIAM H. MEEKS III and GIUSEPPE …

[HTML][HTML] Triply periodic constant mean curvature surfaces

WH Meeks III, G Tinaglia - Advances in Mathematics, 2018 - Elsevier
Given a closed flat 3-torus N, for each H> 0 and each non-negative integer g, we obtain area
estimates for closed surfaces with genus g and constant mean curvature H embedded in N …

Radius estimates for nearly stable H-hypersurfaces of dimension 2, 3, and 4

G Tinaglia, A Zhou - arXiv preprint arXiv:2411.02151, 2024 - arxiv.org
In this paper we study the geometry of complete constant mean curvature (CMC)
hypersurfaces immersed in an (n+ 1)-dimensional Riemannian manifold N (n= 2, 3 and 4) …

Limit lamination theorem for H-disks

WH Meeks III, G Tinaglia - arXiv preprint arXiv:1510.05155, 2015 - arxiv.org
In this paper we prove a theorem concerning lamination limits of sequences of compact
disks $ M_n $ embedded in $\mathbb {R}^ 3$ with constant mean curvature $ H_n $, when …

One-sided curvature estimates for H-disks

WH Meeks III, G Tinaglia - arXiv preprint arXiv:1408.5233, 2014 - arxiv.org
In this paper we prove an extrinsic one-sided curvature estimate for disks embedded in
$\mathbb {R}^ 3$ with constant mean curvature which is independent of the value of the …

Constant mean curvature surfaces

WH Meeks III, J Pérez, G Tinaglia - arXiv preprint arXiv:1605.02512, 2016 - arxiv.org
arXiv:1605.02512v1 [math.DG] 9 May 2016 Page 1 Constant mean curvature surfaces William H.
Meeks III, Joaquın Pérez, Giuseppe Tinaglia May 10, 2016 Abstract In this article we survey recent …

Limit lamination theorems for H-surfaces

WH Meeks III, G Tinaglia - Journal für die reine und angewandte …, 2019 - degruyter.com
In this paper we prove some general results for constant mean curvature lamination limits of
certain sequences of compact surfaces M n embedded in ℝ 3 with constant mean curvature …

The geometry of constant mean curvature surfaces in R3

WH Meeks III, G Tinaglia - Preprint available at http://arxiv. org/pdf …, 2016 - ems.press
The crowning achievement of this paper is the proof that round spheres are the only
complete, simply-connected surfaces embedded in R3 with nonzero constant mean …

[PDF][PDF] On the geometry of CMC-hypersurfaces embedded in a manifold of dimension 4 or 5.

A Zhou - 2024 - kclpure.kcl.ac.uk
The intent of this thesis is to survey properties of constant mean curvature (CMC)
hypersurfaces embedded in ambient manifold of dimension 4 and 5. We shall prove that …

Half-space theorems and the embedded Calabi-Yau problem in Lie groups

B Daniel, WH Meeks III, H Rosenberg - arXiv preprint arXiv:1012.1986, 2010 - arxiv.org
We study the embedded Calabi-Yau problem for complete embedded constant mean
curvature surfaces of finite topology or of positive injectivity radius in a simply-connected …