Summary
It is known in general relativity that certain projections of the curvature are given by a covariant gradient of some other quantity. We shall obtain an analogous expression for a symmetric gauge field.
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References
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Nishioka, M. An analogy between general relativity and symmetric gauge field. Lett. Nuovo Cimento 42, 80–82 (1985). https://doi.org/10.1007/BF02748308
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DOI: https://doi.org/10.1007/BF02748308