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

Giuseppe Tinaglia; William H. Meeks III

arxiv: 1609.08032 · v1 · pith:IHCIYMTVnew · submitted 2016-09-26 · 🧮 math.DG

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

William H. Meeks III , Giuseppe Tinaglia This is my paper

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keywords curvatureconstantmathbbmeanembeddedestimatesgeometrynonzero

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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.

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

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