Differential forms and chain rule
Is there any way to use the chain rule on differential forms in Sage e.g. d(1/z) = -z^(-2)dz ?
From what I've understood in the reference manual, differential forms are defined via a manifold and coordinate charts which doesn't seem to allow it. I am working with forms that can be arbitrarily big, so I think it would be better for me to treat this as a purely algebraic object with no reference to any charts, but I guess this cannot be avoided ?
Sorry for the somewhat naive question, I am new to Sage.
The basic abilities of Sage include the use of chain rule :
This entails the solution of your differential form, reformulated as an ordinary differential equation :
But this is outside the differential geometry framework, so I'm not sure that I address your question.