I know there is an intimate relation between covariant, Lie and exterior derivative. I know that the covariant derivative requires more structure than the exterior, so it would be possible. How do I express a covariant derivative $\nabla_{X} Y$ in terms of the exterior derivative, assuming the Levi-Civita connection?
2026-02-23 11:49:19.1771847359
Express covariant derivative in terms of exterior derivative
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