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

Differential Geometry 2026-04-22 v1

Abstract

We give a proof that every complete two-sided stable minimal surface in R3\mathbb{R}^3 is flat using the index theory for Dirac operators on twisted spinor bundles.

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Cite

@article{arxiv.2604.18922,
  title  = {A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$},
  author = {Douglas Stryker},
  journal= {arXiv preprint arXiv:2604.18922},
  year   = {2026}
}

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15 pages