English

Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space

Differential Geometry 2009-05-15 v1

Abstract

We construct examples of flat surfaces in H3\mathbb{H}^3 which are graphs over a two-punctured horosphere and classify complete embedded flat surfaces in H3\mathbb{H}^3 with only one end and at most two isolated singularities.

Keywords

Cite

@article{arxiv.0905.2371,
  title  = {Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space},
  author = {Armando V. Corro and Antonio Martinez and Francisco Milan},
  journal= {arXiv preprint arXiv:0905.2371},
  year   = {2009}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-21T13:02:20.925Z