English

Unbounded mean convex domains in Euclidean space

Differential Geometry 2026-05-19 v1

Abstract

In this note, we prove that the infimum of the mean curvature on any disconnected boundary component of an unbounded mean convex domain in Rn\mathbb{R}^n must be zero.

Keywords

Cite

@article{arxiv.2605.16802,
  title  = {Unbounded mean convex domains in Euclidean space},
  author = {Jian Ge},
  journal= {arXiv preprint arXiv:2605.16802},
  year   = {2026}
}