Embeddedness of the solutions to the H-Plateau Problem
Abstract
We generalize Meeks and Yau's embeddedness result on the solutions of the Plateau problem to the constant mean curvature disks. We show that any minimizing H-disk in an H0-convex domain is embedded for any H in [0,H0). In particular, for the unit ball B in R3, this implies that for any H in [0,1], any Jordan curve in the unit sphere bounds an embedded H-disk in B.
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