Curvature estimates for constant mean curvature surfaces

William H. Meeks III; Giuseppe Tinaglia

doi:10.1215/00127094-2019-0033

Abstract

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

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William H. Meeks III. Giuseppe Tinaglia. "Curvature estimates for constant mean curvature surfaces." Duke Math. J. 168 (16) 3057 - 3102, 1 November 2019. https://doi.org/10.1215/00127094-2019-0033

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Received: 18 May 2018; Revised: 5 April 2019; Published: 1 November 2019

First available in Project Euclid: 22 October 2019

zbMATH: 07154835

MathSciNet: MR4027828

Digital Object Identifier: 10.1215/00127094-2019-0033

Subjects:

Primary: 53A10

Secondary: 49Q05 , 53C42

Keywords: constant mean curvature , curvature estimates , minimal surface

Abstract

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