Solving equations in differential topology by pen and paper, and in Microsoft word has been tedious and error prone. Can Mathematica help? Mathematica would be required to deal with tensor equations on a pseudo Riemann manifold of four dimensions with complex matrix entries. It should be capable of repartitioning into subspaces (space and time) or it would be of little help to me. As well, I require the capability to deal with real valued entries in 8 dimensions having metric signature (2-, 6+) --though ten dimensions would be preferable. Can Mathematica, Version 7 handle all this?