English

Saddle towers with infinitely many ends

Differential Geometry 2007-05-23 v1

Abstract

We prove the existence of nonperiodic, properly embedded minimal surfaces in R2×S1\mathbb{R}^2\times\mathbb{S}^1 with genus zero, infinitely many ends and one limit end (in particular, they have infinite total curvature).

Keywords

Cite

@article{arxiv.math/0611731,
  title  = {Saddle towers with infinitely many ends},
  author = {Laurent Mazet and M. Magdalena Rodriguez and Martin Traizet},
  journal= {arXiv preprint arXiv:math/0611731},
  year   = {2007}
}

Comments

16 pages, 3 figures