SOLVED: 9.1 Covariant derivatives of tensors The covariant derivative V of tensors of arbitrary rank is defined by the conditions that (1) it obeys the Leibniz rule for products; (2) when operating
The Riemann Tensor
general relativity - Is MTW's covariant commutator $\left[\nabla_{a},\nabla_{b}\right]$ really the same thing as their vector field commutator $\left[a,b\right]$? - Physics Stack Exchange
What is Covariant derivative: Definition and 170 Discussions | Physics Forums
Solved Problem 8.2 [D", D' Show that the commutator D",D'1 | Chegg.com
2. Geometry 2 roles of spacetime: Stage on which physical events play out. Cause of physical phenomenon, e.g., gravity or perhaps everything. Main point. - ppt download
Lecture Notes on General Relativity - S. Carroll
general relativity - How to get the Riemann curvature tensor from the commutator operating on a basis vector - Physics Stack Exchange
general relativity - Covariant and partial derivative of a vector field (not component) - Physics Stack Exchange
general relativity - Is MTW's covariant commutator $\left[\nabla_{a},\nabla_{b}\right]$ really the same thing as their vector field commutator $\left[a,b\right]$? - Physics Stack Exchange