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A Compactness Theorem for Yang-Mills Connections

Published online by Cambridge University Press:  20 November 2018

Xi Zhang
Xi Zhang*
Affiliation:
Department of Mathematics Zhejiang University Hangzhou, 310027 People’s Republic of China, e-mail: xizhang@zju.edu.cn
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Abstract

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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.

Keywords

58E2053C21Yang-Mills connectionvector bundlegauge transformation

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 4 , 01 December 2004 , pp. 624 - 634
Copyright
Copyright © Canadian Mathematical Society 2004

References

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