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January, 2002 An Embedded Minimal Surface with no Symmetries
Martin Traizet
J. Differential Geom. 60(1): 103-153 (January, 2002). DOI: 10.4310/jdg/1090351085

Abstract

We construct embedded minimal surfaces of finite total curvature in euclidean space by gluing catenoids and planes. We use Weierstrass Representation and we solve the Period Problem using the Implicit Function Theorem. As a corollary, we obtain the existence of minimal surfaces with no symmetries.

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Martin Traizet. "An Embedded Minimal Surface with no Symmetries." J. Differential Geom. 60 (1) 103 - 153, January, 2002. https://doi.org/10.4310/jdg/1090351085

Information

Published: January, 2002
First available in Project Euclid: 20 July 2004

zbMATH: 1054.53014
MathSciNet: MR1924593
Digital Object Identifier: 10.4310/jdg/1090351085

Rights: Copyright © 2002 Lehigh University

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Vol.60 • No. 1 • January, 2002
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