Christoffel symbols between two parallel derivatives

[Rafael Bernar]

Hello,

I am trying to compute the partial derivatives, in a given chart S, of the basis vectors from basis Tetrad, using the following command:

PDS[-a][Basis[{1,-Tetrad},b]]

This correctly gives me ChristoffelPDSPDTetrad[b,-a,{1,Tetrad}]. However, I would like to see its components in one of the basis. I know how to compute them using the (kinda) long way. Is there a way or command to quickly compute them?

Thanks in advance for any assistance.

Best regards,

Rafael