Differential Geometry Flashcards

1
Q

Christoffel symbols of the first kind

A
  • How to write it in terms of the Christoffel symbols of the second kind?
  • How to write it in terms of the metric only?
  • What does the notation look like?
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2
Q

Christoffel symbols of the second kind

A
  • Write it in terms of the Levi-Civita connection?
  • When are they symmetric in the lower indices?
  • How to write them in terms of the metric?
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