Geodesic
On Gap Properties and Instabilities of p-Yang–Mills Fields
Canadian journal of mathematics, Tome 59 (2007) no. 6, pp. 1245-1259

Voir la notice de l'article provenant de la source Cambridge University Press

We consider the $p$ -Yang-Mills functional $\left( p\,\ge \,2 \right)$ defined as $Y{{M}_{p}}(\nabla ):=\frac{1}{p}{{\int }_{M}}{{\left\| {{R}^{\nabla }} \right\|}^{p}}$ . We call critical points of $Y{{M}_{p}}(\cdot )$ the p-Yang–Mills connections, and the associated curvature ${{R}^{\nabla }}$ 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 ${{\mathbb{S}}^{n+k}}$ .
DOI : 10.4153/CJM-2007-053-x
Mots-clés : 58E15, 53C05, p-Yang–Mills field, gap property, instability, submanifold 
Chen, Qun; Zhou, Zhen-Rong. On Gap Properties and Instabilities of p-Yang–Mills Fields. Canadian journal of mathematics, Tome 59 (2007) no. 6, pp. 1245-1259. doi: 10.4153/CJM-2007-053-x
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