Embedded minimal annuli solving an exterior problem |
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Authors: | Thomas Nehring |
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Institution: | (1) Mathematisches Institut der Universität Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany |
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Abstract: | Given a compact, strictly convex body in 3 and a closed Jordan curve 3 satisfying several additional assumptions, the existence of a parametric, annulus type minimal surface is proved, which parametrizes along one boundary component, has a free boundary on X along the other boundary component, and which stays in 3. As a consequence of this and a reasoning developed by W. H. Meeks and S. -T. Yau we find an embedded minimal surface with these properties. Another application is the existence of an embedded minimal surface with a flat end, free boundary on X and controlled topology.This article was processed by the author using the LATEX style filepljourlm from Springer-Verlag. |
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Keywords: | 49Q05 53A10 58E12 |
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