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Constant mean curvature surfaces with three ends

Karsten Grosse-Brauckmann, Robert B. Kusner, John M. Sullivan

math.DGarXiv:math/9903101

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.

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