English

Non-properly Embedded H-Planes in H^2xR

Differential Geometry 2018-03-06 v2

Abstract

For any HH in (0,1/2), we construct complete, non-proper, stable, simply-connected surfaces embedded in H2xRH^2xR with constant mean curvature HH.

Keywords

Cite

@article{arxiv.1609.08568,
  title  = {Non-properly Embedded H-Planes in H^2xR},
  author = {Baris Coskunuzer and William H. Meeks and Giuseppe Tinaglia},
  journal= {arXiv preprint arXiv:1609.08568},
  year   = {2018}
}

Comments

Details added at referee's request. To appear in Mathematische Annalen

R2 v1 2026-06-22T16:03:10.555Z