I'm trying to do some differential geomery calculations and they are becoming outrageously large.  I'd like to use Maple's differential geometry package (tensor package), but it seems incapable of performing the calculations in an arbitrary number of dimensionis (i.e. with a fixed but arbitrary number of dimensions).  Does anyone know of a good package or tool to use for such work?


In case any geometers reading this are interested, my problem can be represented in this manner:  I am working ini GL(n) (over the reals) with coordinates that have two variables, and I am taking derivatives with respect to these coordinates of tensorial expressions involving the coordinates and their inverses.


Thank you in advance.


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