Consider the line element of the sphere of radius a: ds² a² (d0² + sin² 0 do ²). The only non-vanishing Christoffel symbols are го = -sin cos 0, ГФ 06 = rø 00= 1 tan 0
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c) The geodesics of the sphere are great circles. Thinking of θ = 0 as the North pole and θ = π as the South pole, find a set a solutions to the geodesic equation corresponding to meridians, and
also the solution corresponding to the equator.
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