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ISSN 1088-6850(e) ISSN 0002-9947(p)

Multi-valued graphs in embedded constant mean curvature disks

Author(s): Giuseppe Tinaglia
Journal: Trans. Amer. Math. Soc. 359 (2007), 143-164.
MSC (2000): Primary 53A10
Posted: August 24, 2006
MathSciNet review: 2247886
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Abstract: In this paper we prove that an embedded constant mean curvature disk with Gaussian curvature large at a point contains a multi-valued graph around that point on the scale of $\vert A\vert^2$ . This generalizes Colding and Minicozzi's result for minimal surfaces.

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