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April, 2003 Construction of non-simply connected CMC surfaces via dressing
Josef DORFMEISTER, Guido HAAK
J. Math. Soc. Japan 55(2): 335-364 (April, 2003). DOI: 10.2969/jmsj/1191419120

Abstract

We investigate surfaces of constant mean curvature with a nontrivial fundamental group in a Weierstraß type representation. As an application we construct a family of complete CMC immersions which are conformally cylinders and have umbilics.

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Josef DORFMEISTER. Guido HAAK. "Construction of non-simply connected CMC surfaces via dressing." J. Math. Soc. Japan 55 (2) 335 - 364, April, 2003. https://doi.org/10.2969/jmsj/1191419120

Information

Published: April, 2003
First available in Project Euclid: 3 October 2007

zbMATH: 1035.53015
MathSciNet: MR1961290
Digital Object Identifier: 10.2969/jmsj/1191419120

Subjects:
Primary: 53A10
Secondary: 53C20

Keywords: CMC surfaces , complete , cylinders with umbilics , dressing

Rights: Copyright © 2003 Mathematical Society of Japan

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Vol.55 • No. 2 • April, 2003
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