If these are satisfied then we are on a geodesic. Do I just need to plug in the condition given about the christoffel symbols and then see that the equations are allways fulfiled as long as $v=at+b$ and $u=ct+d$ i.e. some straight line in the $(u,v)$-plan (down in the map)
2026-05-05 11:02:59.1777978979
Geodesics and Christoffel symbols
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