Question: how to find some tensors for a n dimensional metric

 I want to find the Christoffel symbols and Ricci tensors for a generalized metric in cartesian coordinates.

I stated my problem in this pdf file in detail. 


Thanks in advance.

PS: I heard from somebody(doesn't use Maple) that Maxima can "certainly" solve this problem. Well, I do not know Maxima, so If anybody can solve this in maxima, then that would also be very helpful. Now, some ideas behind Maple/Mathematica came from Maxima, I heard, and obviously these two are more developed now, so it's highly unlikely that Maxima can do this and Maple doesn't.

I use Maple 13.








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