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01:17:56- Bianchi identities
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Classroom Contents
Christoffel Symbols, Curvature, and Riemann Tensor - Lecture 8
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- 1 00:00- Problem sheets 3 and 2
- 2 30:25- Christoffels, geodesics in the Newtonian approximation
- 3 50:35- Break
- 4 50:50- Curvature, Riemann tensor
- 5 01:07:22- Riemann tensor in locally flat coordinates
- 6 01:10:35- Algebraic properties of the Riemann
- 7 01:14:16- Commuting covariant derivatives gives the Riemann
- 8 01:17:56- Bianchi identities
- 9 01:21:21- Contractions of the Riemann
- 10 01:24:38- Commuting covariant derivatives gives the Riemann - proof
- 11 01:33:02- Riemann is a tensor - proof
- 12 01:39:02- Riemann tensor of a round 2-sphere