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Yang-Mills connections in orthonormal frame bundle over \(SU(2)\) - MaRDI portal

Yang-Mills connections in orthonormal frame bundle over \(SU(2)\) (Q1340407)

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scientific article; zbMATH DE number 701558
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Yang-Mills connections in orthonormal frame bundle over \(SU(2)\)
scientific article; zbMATH DE number 701558

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    Yang-Mills connections in orthonormal frame bundle over \(SU(2)\) (English)
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    19 December 1994
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    The following theorem is proved: Let \(g\) be a left invariant Riemannian metric on SU(2). Then the connection form in the orthogonal frame bundle defined by the Levi-Civita connection of \(g\) becomes a Yang-Mills connection iff \(g\) is bi-invariant.
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    connections in orthonormal frame bundles
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    Yang-Mills connections
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    left invariant Riemannian metric
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