Christoffel Symbols, Curvature, and Riemann Tensor - Lecture 8

Christoffel Symbols, Curvature, and Riemann Tensor - Lecture 8

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01:24:38- Commuting covariant derivatives gives the Riemann - proof

10 of 12

10 of 12

01:24:38- Commuting covariant derivatives gives the Riemann - proof

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Classroom Contents

Christoffel Symbols, Curvature, and Riemann Tensor - Lecture 8

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

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