English

Stable minimal hypersurfaces in $\mathbf{R}^4$

Differential Geometry 2023-05-02 v3 Analysis of PDEs

Abstract

We prove that a complete, two-sided, stable minimal immersed hypersurface in R4\mathbf{R}^{4} is flat.

Keywords

Cite

@article{arxiv.2108.11462,
  title  = {Stable minimal hypersurfaces in $\mathbf{R}^4$},
  author = {Otis Chodosh and Chao Li},
  journal= {arXiv preprint arXiv:2108.11462},
  year   = {2023}
}

Comments

Final version. Added discussions on almost stable minimal hypersurfaces. To appear in Acta Mathematica

R2 v1 2026-06-24T05:25:23.715Z