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arXiv 2004-09-10 0 views

Multi-valued graphs in embedded constant mean curvature disks

Tinaglia, Giuseppe

Original · EN

In this paper we prove that an embedded and simply connected constant mean curvature surface with curvature large at a point contains a multi-valued graph around that point on the scale of |A|², where |A|² is the norm squared of the second fundamental form. This generalizes Colding and Minicozzi's result for minimal surfaces.

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