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arXiv · 2602.15666

The stability of Yang-Mills connections on $\delta$-pinched manifolds

Xiaoli Han·Yang Wen
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Abstract

In this article, we establish pinching conditions under which all weakly stable Yang-Mills connections on compact manifolds are flat. As a corollary, we provide a dimension-dependent constant $\delta(n)$ and prove that there exist no non-flat weakly stable Yang-Mills connections on $\delta(n)$-pinched compact simply-connected Riemannian manifolds.

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Xiaoli Han, Yang Wen. 2026-02-17. The stability of Yang-Mills connections on $\delta$-pinched manifolds. https://arxiv.org/abs/2602.15666

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