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Gap phenomena for constant mean curvature surfaces

math.DG · 2019-08-26 · conditional · novelty 6.0

A free boundary CMC surface in the 3-ball with traceless second fundamental form pinched by (2+H<x,N>)^2/2 is a spherical cap or a Delaunay annulus.

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  • Gap phenomena for constant mean curvature surfaces math.DG · 2019-08-26 · conditional · none · ref 8

    A free boundary CMC surface in the 3-ball with traceless second fundamental form pinched by (2+H<x,N>)^2/2 is a spherical cap or a Delaunay annulus.