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- W4300707665 abstract "We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation to a system of ordinary differential equations. The system is shown to have solutions by variational methods, using ideas from harmonic map theory. Examples include Yang-Mills connections on each of the countably many principal SO(6)-bundles over $S^6$, and countably many Yang-Mills connections on $TS^n$ for $nin{5,...,9}$." @default.
- W4300707665 created "2022-10-04" @default.
- W4300707665 creator A5024897141 @default.
- W4300707665 date "2011-07-29" @default.
- W4300707665 modified "2023-10-17" @default.
- W4300707665 title "Yang-Mills connections of cohomogeneity one on SO(n)-bundles over Euclidean spheres" @default.
- W4300707665 doi "https://doi.org/10.48550/arxiv.1107.5952" @default.
- W4300707665 hasPublicationYear "2011" @default.
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