English

Embedded minimal and constant mean curvature annulus touching spheres

Differential Geometry 2010-02-03 v1

Abstract

We show that a compact embedded minimal or constant mean curvature annulus with non-vanishing Gaussian curvature which is tangent to two spheres of same radius or tangent to a sphere and meeting a plane in constant contact angle is rotational.

Keywords

Cite

@article{arxiv.1002.0438,
  title  = {Embedded minimal and constant mean curvature annulus touching spheres},
  author = {Sung-Ho Park},
  journal= {arXiv preprint arXiv:1002.0438},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T14:42:20.212Z