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Can any one help me on this question:
Under what relation between vector fields X and Y, the Levi-Civita connection of X with respect to Y, \nabla_{Y}X is 0?
Any answers or suggestion will be highly appreciated.
Under what relation between vector fields X and Y, the Levi-Civita connection of X with respect to Y, \nabla_{Y}X is 0?
Any answers or suggestion will be highly appreciated.