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christoffel symbols of the second kind: how exactly to calculate?

Hello, I have a function f(u,v) = ( cos(v)sin(u), sin(u)sin(v), cos(u) ) which describes a sphere in R3.

How can I calculate the Christoffel symbols of the second kind? I didn't understand the examples I saw so far. I have no idea on how to proceed. Thank you for your efforts, Best wishes Hans