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A Compactness Theorem for Yang-Mills Connections
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 2004
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