Transactions of the American Mathematical Society

Author(s): Giuseppe Tinaglia
Journal: Trans. Amer. Math. Soc. 359 (2007), 143-164.
MSC (2000): Primary 53A10
Posted: August 24, 2006
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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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Giuseppe Tinaglia
Affiliation: Department of Mathematics, Johns Hopkins University, 3400 North Charles Street, 404 Krieger Hall, Baltimore, Maryland 21218-2686
Address at time of publication: Department of Mathematics, University of Notre Dame, 255 Hurley Hall, Notre Dame, Indiana 46556-4618
Email: tinaglia@math.jhu.edu, giuseppetinaglia@nd.edu

DOI: 10.1090/S0002-9947-06-04095-5
PII: S 0002-9947(06)04095-5
Received by editor(s): October 4, 2004
Posted: August 24, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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