Tensor Calculus 21: Lie Bracket, Flow, Torsion Tensor (contains error; see pinned comment)
29:13
Tensor Calculus 22: Riemann Curvature Tensor Geometric Meaning (Holonomy + Geodesic Deviation)
28:52
Tensor Calculus 20: The Abstract Covariant Derivative (Levi-Civita Connection)
20:42
The craziest definition of the derivative you have ever seen!
33:51
Tensor Calculus 18: Covariant Derivative (extrinsic) and Parallel Transport
28:54
Tensor Calculus 24: Ricci Tensor Geometric Meaning (Sectional Curvature)
44:31
Lie algebras visualized: why are they defined like that? Why Jacobi identity?
22:50
Tensor Calculus 19: Covariant Derivative (Intrinsic) and Geodesics
21:57