Relativity 107b: General Relativity Basics - Manifolds, Covariant Derivative, Geodesics

Full playlist: https://www.youtube.com/playlist?list=PLJHszsWbB6hqlw73QjgZcFh4DrkQLSCQa

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: https://www.youtube.com/watch?v=1CuTNveXJRc&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=17
TC 16 - Geodesics on Sphere example: https://www.youtube.com/watch?v=8sVDceI70HM&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=18
TC 17 - Flat Space Definition: https://www.youtube.com/watch?v=U5iMpOn5IHw&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=19
TC 17.5 - Component Definition: https://www.youtube.com/watch?v=8S_XOjd5Mec&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=20
TC 18 - Extrinsic Definition: https://www.youtube.com/watch?v=Af9JUiQtV1k&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=21
TC 19 - Intrinsic Definition: https://www.youtube.com/watch?v=EFKBp52LtDM&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=22
TC 20 - Abstract Definition: https://www.youtube.com/watch?v=cEEahoUUGyc&list=PLJHszsWbB6hpk5h8lSfBkVrpjsqvUGTCx&index=23

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

Видео Relativity 107b: General Relativity Basics - Manifolds, Covariant Derivative, Geodesics канала eigenchris