Fellow geometry enthusiasts:
I am studying a particular geometry and I would like to change from one set of coordinates to a new set that makes the metric unimodular (i.e. it's determinant is one). The components of the metric are rather complicated functions of the coordinates, so I don't know how to solve the system of linear first order PDEs that I get from the Jacobian. Is anyone aware of any software that can give me the new coordinates in terms of the old ones given the Jacobian of the transformation? I have Maple 18, but I have not been able to find this capability in Maple. Thanks!
-Gabe