- #1
whatisreality
- 290
- 1
I have a couple of questions about how Christoffel symbols work. Why can they just be moved inside the partial derivative, as shown just beneath the first blue box here: https://einsteinrelativelyeasy.com/index.php/general-relativity/61-the-riemann-curvature-tensor
And if you had the partial derivative:
##(\partial _{\rho} \Gamma^{\mu}_{\sigma\nu}) U^{\nu}##
Where ##U^{\nu}## is any contravariant vector, does this commute? Could I just move the ##U^{\nu}## from the right of the bracket to the left of the bracket?
And if you had the partial derivative:
##(\partial _{\rho} \Gamma^{\mu}_{\sigma\nu}) U^{\nu}##
Where ##U^{\nu}## is any contravariant vector, does this commute? Could I just move the ##U^{\nu}## from the right of the bracket to the left of the bracket?