Invariant connections and Yang-Mills solutions
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- by Mitsuhiro Itoh PDF
- Trans. Amer. Math. Soc. 267 (1981), 229-236 Request permission
Abstract:
A condition on the self-duality and the stability of Yang-Mills solutions are discussed. The canonical invariant $G$-connections on ${S^4}$ and ${P_2}({\mathbf {C}})$ are considered as Yang-Mills solutions. The non-self-duality of the connections requires the injectivity of the isotropy homomorphisms. We construct examples of non-self-dual connections on $G$-vector bundles ($G$ is a compact simple group). Under a certain property of the isotropy homomorphism, these canonical connections are not weakly stable.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 267 (1981), 229-236
- MSC: Primary 53C05; Secondary 53C99, 55R10, 57S15, 81E10
- DOI: https://doi.org/10.1090/S0002-9947-1981-0621984-5
- MathSciNet review: 621984