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A minimal surface with one limit end and unbounded curvature

Abstract : We construct a complete, embedded minimal surface in euclidean space which has unbounded Gaussian curvature. It has infinite genus, infinitely many catenoidal ends and one limit end.
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https://hal.archives-ouvertes.fr/hal-00487921
Contributor : Martin Traizet <>
Submitted on : Monday, May 31, 2010 - 3:10:23 PM
Last modification on : Thursday, March 5, 2020 - 5:32:55 PM
Document(s) archivé(s) le : Thursday, September 16, 2010 - 4:44:45 PM

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  • HAL Id : hal-00487921, version 1

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Martin Traizet. A minimal surface with one limit end and unbounded curvature. Indiana University Mathematics Journal, Indiana University Mathematics Journal, 2012, 61 (3), pp.1325--1350. ⟨hal-00487921⟩

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