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I think all the material for this is available in the manifolds module, in particular changes of coordinates, though the operators are not explicitely written. This is a very good idea to implement this, and include it in Sage. Do not hesitate to try that module and tell how far you can go with that.

I think all the material for this is available in the manifolds module, in particular changes of coordinates, though the operators are not explicitely written. This is a very good idea to implement this, and include it in Sage. Do not hesitate to try that module and tell report how far you can go with that.that. If you want to turn a chance into a reality, to you might consider becoming the kind person implementing these ;)