English

Helicoidal minimal surfaces of prescribed genus, II

Differential Geometry 2013-04-24 v1

Abstract

We prove that for each positive integer g, there exists a complete minimal surface of genus g that is properly embedded in three-dimensional euclidean space and that is asymptotic to the helicoid.

Keywords

Cite

@article{arxiv.1304.6180,
  title  = {Helicoidal minimal surfaces of prescribed genus, II},
  author = {David Hoffman and Martin Traizet and Brian White},
  journal= {arXiv preprint arXiv:1304.6180},
  year   = {2013}
}

Comments

35 pages, 3 figures