English

Least Area Planes in Hyperbolic 3-Space are Properly Embedded

Geometric Topology 2009-03-14 v1 Differential Geometry

Abstract

We show that if P is an embedded least area (area minimizing) plane in hyperbolic 3-space whose asymptotic boundary is a simple closed curve with at least one smooth point, then P is properly embedded.

Keywords

Cite

@article{arxiv.0712.0662,
  title  = {Least Area Planes in Hyperbolic 3-Space are Properly Embedded},
  author = {Baris Coskunuzer},
  journal= {arXiv preprint arXiv:0712.0662},
  year   = {2009}
}

Comments

11 pages

R2 v1 2026-06-21T09:50:35.540Z