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These functionalities are not implemented yet, except for the first order computation of the inverse metric, which is performed via

g.inverse(expansion_symbol=epsilon, order=1)

I agree with you that the finite order computations of the metric determinant and the Hodge dual are missing and should be implemented. Any volunteer? If you would like to implement this by yourself, please take a look at https://sagemanifolds.obspm.fr/contrib.html