# Stability and isolation phenomena for Yang-Mills fields

@article{Bourguignon1981StabilityAI, title={Stability and isolation phenomena for Yang-Mills fields}, author={Jean Pierre Bourguignon and H. Blaine Jr. Lawson}, journal={Communications in Mathematical Physics}, year={1981}, volume={79}, pages={189-230} }

In this article a series of results concerning Yang-Mills fields over the euclidean sphere and other locally homogeneous spaces are proved using differential geometric methods. One of our main results is to prove that any weakly stable Yang-Mills field overS4 with groupG=SU2, SU3 orU2 is either self-dual or anti-self-dual. The analogous statement for SO4-bundles is also proved. The other main series of results concerns gap-phenomena for Yang-Mills fields. As a consequence of the non-linearity…

## 264 Citations

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