Stable minimal hypersurfaces in $\mathbf {R}^5$

Pages 423-453 from Volume 204 (2026), Issue 1 by Otis Chodosh, Chao Li, Paul Minter, Douglas Stryker

Abstract

We show that a complete, two-sided stable minimal hypersurface in $\mathbf{R}^5$ is flat.

Keywords
, , , ,
Milestones
Received: 18 January 2024
Revised: 14 October 2025
Accepted: 30 October 2025
Published online: 1 July 2026

Authors

Otis Chodosh

Department of Mathematics, Stanford University, Building 380, Stanford, CA 94305, USA

Chao Li

Courant Institute, New York University, 251 Mercer St, New York, NY 10012, USA

Paul Minter

Department of Mathematics, Stanford University, Building 380, Stanford, CA 94305, USA

Douglas Stryker

Department of Mathematics, Stanford University, Building 380, Stanford, CA 94305, USA