Abstract
Consider a Yang-Mills connection over a Riemann manifold M = M n, n ≥ 3, where M may be compact or complete. Then its energy must be bounded from below by some positive constant, if M satisfies certain conditions, unless the connection is flat.
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Communicated by A. Connes
This work has been supported by the DFG.
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Gerhardt, C. An Energy Gap for Yang-Mills Connections. Commun. Math. Phys. 298, 515–522 (2010). https://doi.org/10.1007/s00220-010-1073-0
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DOI: https://doi.org/10.1007/s00220-010-1073-0