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

Fuente: arXiv
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Autor principal: Stryker, Douglas
Formato: Preprint
Publicado: 2026
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author Stryker, Douglas
author_facet Stryker, Douglas
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18922
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$
Stryker, Douglas
Differential Geometry
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.
title A spinor proof of the classification of stable minimal surfaces in $\mathbb{R}^3$
topic Differential Geometry
url https://arxiv.org/abs/2604.18922