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Problem 3 [2*] (1) Compute the Christoffel symbol of the 2sphere with line element d32 = d192 + sin219 dcp2 . (ii) Use your result

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Problem 3 [2*] (1) Compute the Christoffel symbol of the 2sphere with line element d32 = d192 + sin219 dcp2 . (ii) Use your result from part (i) to write down both components of the geodesic equation on the 2sphere. (iii) Show that the meridians and the equator are geodesics

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