A minimal surface with unbounded curvature

2010/06/17 by Martin Traizet, Traizet, Martin
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1006.3389

24 pages, 2 figures

arxiv created 2010/06/17 · openalex publication_date 2010/06/17 · arxiv updated 2010/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a complete, embedded minimal surface in euclidean 3-space which has unbounded Gaussian curvature. It has infinite genus, infinitely many catenoidal type ends and one limit end.

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