Levi-Civita Connection, Christoffel Symbols, and Geodesics - Lecture 7

Levi-Civita Connection, Christoffel Symbols, and Geodesics - Lecture 7

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01:28:12- Christoffels in the Newtonian approximation

11 of 11

11 of 11

01:28:12- Christoffels in the Newtonian approximation

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Classroom Contents

Levi-Civita Connection, Christoffel Symbols, and Geodesics - Lecture 7

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  1. 1 00:00- Covariant derivative and connection
  2. 2 04:30- Transformation law for connection coefficients
  3. 3 16:40- Levi-Civita connection, Christoffel symbols
  4. 4 28:23- Locally flat coordinates
  5. 5 33:29- Properties of the covariant derivative
  6. 6 37:29- Parallel transport
  7. 7 42:29- Geodesics
  8. 8 52:28- Break
  9. 9 52:40- Variational principle for geodesics
  10. 10 01:09:09- Christoffels on a 2-sphere
  11. 11 01:28:12- Christoffels in the Newtonian approximation

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