# Software for differential geometry

What is the software for computations with tensor fields? I'm interested in computations with vector-valued differential forms on Riemannien manifolds. Wedge product, exterior derivative, likely Hodge dual, tensor product, contractions of all kinds.

Basically just rewriting and then possibly casting equations into a given base.

I know EXCALC for REDUCE, but apparently it misses vector-valued differential forms and working with metrics in it is rather obscured.