English

Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$

Differential Geometry 2025-05-23 v1

Abstract

In this paper, we prove that a complete, two-sided, stable anisotropic minimal immersed hypersurface in R5\mathbb{R}^{5} or R6\mathbb{R}^{6} is flat, provided the anisotropic area functional is C4C^4-close to the area functional.

Keywords

Cite

@article{arxiv.2505.16595,
  title  = {Stable anisotropic minimal hypersurfaces in $\mathbb{R}^{5}$ and $\mathbb{R}^{6}$},
  author = {Jia Li and Chao Xia},
  journal= {arXiv preprint arXiv:2505.16595},
  year   = {2025}
}

Comments

16 pages

R2 v1 2026-07-01T02:31:22.461Z