English

Minimal surfaces with limit ends in H^2 x R

Differential Geometry 2011-12-21 v2

Abstract

For any m > 0, we construct properly embedded minimal surfaces in H^2 x R with genus zero, infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable number of limit ends. All these examples are vertical bi-graphs.

Keywords

Cite

@article{arxiv.1009.3524,
  title  = {Minimal surfaces with limit ends in H^2 x R},
  author = {M. Magdalena Rodríguez},
  journal= {arXiv preprint arXiv:1009.3524},
  year   = {2011}
}
R2 v1 2026-06-21T16:15:37.069Z