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You are free to continue watching to the next video, but if you feel you are getting confused, here are some other videos on geodesics and the covariant derivative:
TC 15 - Geodesics + Christoffel Symbols on Sphere: • Tensor Calculus 15: Ge...
TC 16 - Geodesics on Sphere example: • Tensor Calculus 16: Ge...
TC 17 - Flat Space Definition: • Tensor Calculus 17: Th...
TC 17.5 - Component Definition: • Tensor Calculus 17.5: ...
TC 18 - Extrinsic Definition: • Tensor Calculus 18: Co...
TC 19 - Intrinsic Definition: • Tensor Calculus 19: Co...
TC 20 - Abstract Definition: • Tensor Calculus 20: Th...
0:00 Introduction
1:35 Equivalence Principle and Manifolds
6:15 Extrinsic vs Intrinsic views of Manifolds
10:29 Tangent Vectors on Manifolds
16:20 Covariant Derivative Notation
22:10 Levi Civita Connection
28:58 Geodesics
33:44 Summary