A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$

Published: April 21, 2026PDF arXiv

Abstract

We give a proof that every complete two-sided stable minimal surface in $\mathbb{R}^3$ is flat using the index theory for Dirac operators on twisted spinor bundles.

A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$

Douglas Stryker

math.DG

Published: April 21, 2026PDF arXiv

Abstract

We give a proof that every complete two-sided stable minimal surface in $\mathbb{R}^3$ is flat using the index theory for Dirac operators on twisted spinor bundles.