Compute Christoffel symbols & Riemann tesors in Maple 17

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This is a screenshot of the beginning I invented a metric tensor g and now I'm trying to compute my first Christoffel symbol but an error message is popping up "Error, bad index into matrix" Is there a way for maple to compute Christoffel symbols/Riemann/Einstein tensors automatically?

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Try the DifferentialGeometry package, specifically the Tensor sub-package. http://www.maplesoft.com/support/help/Maple/view.aspx?path=DifferentialGeometry%2fTensor