Unbounded mean convex domains in Euclidean space

Fuente: arXiv
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1. Verfasser: Ge, Jian
Format: Preprint
Veröffentlicht: 2026
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author Ge, Jian
author_facet Ge, Jian
contents In this note, we prove that the infimum of the mean curvature on any disconnected boundary component of an unbounded mean convex domain in $\mathbb{R}^n$ must be zero.
format Preprint
id arxiv_https___arxiv_org_abs_2605_16802
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Unbounded mean convex domains in Euclidean space
Ge, Jian
Differential Geometry
In this note, we prove that the infimum of the mean curvature on any disconnected boundary component of an unbounded mean convex domain in $\mathbb{R}^n$ must be zero.
title Unbounded mean convex domains in Euclidean space
topic Differential Geometry
url https://arxiv.org/abs/2605.16802