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

From To appear in forthcoming issues by Otis Chodosh, Chao Li, Paul Minter, Douglas Stryker

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

Keywords

Mathematical Subject Classification

Primary 2020: 35J50, 53A10, 53C42

Milestones

Received: 2024-01-18
Revised: 2025-10-14
Accepted: 2025-10-30

Authors

Otis Chodosh

Department of Mathematics, Stanford University, Stanford, CA, USA

Chao Li

Courant Institute of Mathematical Sciences, New York University New York NY, USA

Paul Minter

Department of Mathematics, Princeton University and School of Mathematics, Institute for Advanced Study, Princeton, NJ, USA

Current address:

Department of Mathematics, Stanford University, Stanford, CA, USA and Homerton College, University of Cambridge, Cambridge, UK

Douglas Stryker

Department of Mathematics, Princeton University, Princeton, NJ, USA

Current address:

Department of Mathematics, Stanford University, Stanford, CA, USA