English

A minimal surface with unbounded curvature

Differential Geometry 2010-06-18 v1

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.

Keywords

Cite

@article{arxiv.1006.3389,
  title  = {A minimal surface with unbounded curvature},
  author = {Martin Traizet},
  journal= {arXiv preprint arXiv:1006.3389},
  year   = {2010}
}

Comments

24 pages, 2 figures

R2 v1 2026-06-21T15:37:32.063Z