De Rham theorem

1. Nov 25, 2008

fisico30

de Rham theorem....

hello Forum,

could someone explain in simple terms how the de Rham theorem relates to homotopy and line integrals in calculus, and conservative vector fields?

I know that if the curl of vector field is zero, then it isn't a conservative field necessarily...more conditions are needed (simple connectedness).

thanks!

2. Nov 26, 2008

mathwonk

Re: de Rham theorem....

read spivak's differential geometry, volume 1.