I'm trying to follow a professor's notes for finding Christoffel symbols for a two-sphere. He gives the following two equations:
The Lagrangian for a two sphere:L = \left( \frac{d\theta}{ds} \right)^2 + sin^2\theta \left( \frac{d\phi}{ds} \right)^2
The Euler Lagrange equation: \frac{d}{ds}...