Multi-valued graphs in embedded constant mean curvature disks

Tinaglia, Giuseppe

doi:10.1090/S0002-9947-06-04095-5

Multi-valued graphs in embedded constant mean curvature disks
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by Giuseppe Tinaglia PDF

Trans. Amer. Math. Soc. 359 (2007), 143-164 Request permission

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 $|A|^2$. This generalizes Colding and Minicozzi’s result for minimal surfaces.

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