I recently watched Susskind video on general relativity. I am unsure why the commutator of the covariant derivative of the vectors is nonzero when there is curvature. E.g. DrDsVm-DsDrVm(adsbygoogle = window.adsbygoogle || []).push({});

In flat space, that difference is zero. But why is it non zero in curved space? Someone please enlightened me!

Sorry for being so vague as I don't really know how to express this in words and how to use this forum.

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# Curvature of space time

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