Natural connections on Stiefel bundles are sourceless gauge fields
Authors:
- 1 May 1978
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 19 (5) , 1100-1103
Abstract
It is shown that the natural connections defined on real and complex Stiefel bundles over Grassmannian manifolds are sourceless gauge fields corresponding to the gauge groups G=SO(k), k=2,3,⋅⋅⋅ and U(k), k=1,2,⋅⋅⋅, respectively. Stiefel bundles and their connections are important in view of their universality: Any gauge field, with group G, defined on a compact manifold may be obtained by embedding the manifold in a Grassmannian of sufficiently high dimension.Keywords
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