Abstract
We give suitable completions of the space of principal $G$-bundles over $M$ and the space of smooth connections on them, where $G$ is a compact, simple, simply connected Lie group and $M$ is a 4-dimensional compact orientable manifold. We also introduce a natural energy defined in such spaces and consider variational problems on them.
Citation
Takeshi Isobe. "Relaxed Yang-Mills functional over 4-manifolds." Topol. Methods Nonlinear Anal. 6 (2) 235 - 253, 1995.
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