Nonexistence of weakly stable Yang-Mills fields

Xiaoli Han; Yang Wen

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arXiv · 2601.17649

Nonexistence of weakly stable Yang-Mills fields

Xiaoli Han·Yang Wen

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Abstract

In this paper we prove that there is a neighborhood in the $C^2$ topology of the usual metric on the Euclidean sphere $S^n (n\geq 5)$ such that there is no nontrivial weakly stable Yang-Mills connections for any metric $\tilde{g}$ in this neighborhood. We also study the stability of Yang-Mills connections on the warped product manifolds.

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Xiaoli Han, Yang Wen. 2026-01-25. Nonexistence of weakly stable Yang-Mills fields. https://arxiv.org/abs/2601.17649

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