1. The problem statement, all variables and given/known data Consider metric ds2 = dx2 + x3 dy2 for 2D space. Calculate all non-zero christoffel symbols of metric. 2. Relevant equations [itex]\Gamma[/itex]jik = [itex]\partial[/itex]ei / [itex]\partial[/itex] xk [itex]\times[/itex] ej 3. The attempt at a solution Christoffel symbols, by definition, takes the partial of each vector basis with respect to component (in this case xk). So my instinct tells me to differentiate the metric with respect to x and y. Which would give me: metric differentiated with respect to (x) = 3x2 x1 metric differentiated with respect to (y) = 0 x2 Did I do this right or did I get this completely wrong? If I have done it wrong, please explain. Thank you very much in advance.