English

A note on the Gauss map of complete nonorientable minimal surfaces

Differential Geometry 2007-05-23 v1

Abstract

We construct complete nonorientable minimal surfaces whose Gauss map omits two points of the projective plane. This result proves that Fujimoto's theorem is sharp in nonorientable case.

Keywords

Cite

@article{arxiv.math/9812131,
  title  = {A note on the Gauss map of complete nonorientable minimal surfaces},
  author = {Francisco J. Lopez and Francisco Martin},
  journal= {arXiv preprint arXiv:math/9812131},
  year   = {2007}
}

Comments

8 pages, to appear in Pacific J. Math

R2 v1 2026-07-22T18:01:22.495Z