English

Minimal Surfaces with Arbitrary Topology in H^2xR

Differential Geometry 2021-12-01 v5 Geometric Topology

Abstract

We show that any open orientable surface S can be properly embedded in H^2xR as an area minimizing surface.

Keywords

Cite

@article{arxiv.1404.0214,
  title  = {Minimal Surfaces with Arbitrary Topology in H^2xR},
  author = {Baris Coskunuzer},
  journal= {arXiv preprint arXiv:1404.0214},
  year   = {2021}
}

Comments

26 pages, 6 figures. With the editors' request, the paper splitted into two parts. The other part posted as APP for Tall Curves (arXiv:2006.01669)

R2 v1 2026-06-22T03:40:10.056Z