Geodesic
A Compactness Theorem for Yang-Mills Connections
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 624-634

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In this paper, we consider Yang-Mills connections on a vector bundle $E$ over a compact Riemannian manifold $M$ of dimension $m\,>\,4$ , and we show that any set of Yang-Mills connections with the uniformly bounded ${{L}^{\frac{m}{2}}}$ -norm of curvature is compact in ${{C}^{\infty }}$ topology.
DOI : 10.4153/CMB-2004-060-x
Mots-clés : 58E20, 53C21, Yang-Mills connection, vector bundle, gauge transformation 
Zhang, Xi. A Compactness Theorem for Yang-Mills Connections. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 624-634. doi: 10.4153/CMB-2004-060-x
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     author = {Zhang, Xi},
     title = {A {Compactness} {Theorem} for {Yang-Mills} {Connections}},
     journal = {Canadian mathematical bulletin},
     pages = {624--634},
     year = {2004},
     volume = {47},
     number = {4},
     doi = {10.4153/CMB-2004-060-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-060-x/}
}
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