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1. CJM 2007 (vol 59 pp. 1245)

Chen, Qun; Zhou, Zhen-Rong
On Gap Properties and Instabilities of $p$-Yang--Mills Fields
We consider the $p$-Yang--Mills functional $(p\geq 2)$ defined as $\YM_p(\nabla):=\frac 1 p \int_M \|\rn\|^p$. We call critical points of $\YM_p(\cdot)$ the $p$-Yang--Mills connections, and the associated curvature $\rn$ the $p$-Yang--Mills fields. In this paper, we prove gap properties and instability theorems for $p$-Yang--Mills fields over submanifolds in $\mathbb{R}^{n+k}$ and $\mathbb{S}^{n+k}$.

Keywords:$p$-Yang--Mills field, gap property, instability, submanifold
Categories:58E15, 53C05

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