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

Douglas Stryker

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arXiv · 2604.18922

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

Douglas Stryker

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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.

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Douglas Stryker. 2026-04-21. A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$. https://arxiv.org/abs/2604.18922

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