Constant mean curvature surfaces with three ends

Abstract

We announce the classification of complete, almost embedded surfaces of constant mean curvature, with three ends and genus zero: they are classified by triples of points on the sphere whose distances are the asymptotic necksizes of the three ends.

LaTex, 4 pages, 1 postscript figure

References in corpus (1)

• Constant mean curvature surfaces with Delaunay ends

Cited by in corpus (7)

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• Loop Group Methods for Constant Mean Curvature Surfaces
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• Triunduloids: Embedded constant mean curvature surfaces with three ends and genus zero
• New entire positive solution for the nonlinear Schrodinger equation: Coexistence of fronts and bumps
• An end-to-end construction for compact constant mean curvature surfaces