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(b) What requirement needs to be imposed on parallel vector fields (and thereby indirectly on the connection), for metric geodesics and affine geodesics (i.e. those

(b) What requirement needs to be imposed on parallel vector fields (and thereby indirectly on the connection), for metric geodesics and affine geodesics (i.e. those given by parallel transport of their tangent vector) to be the same? [4 marks]

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