Hello, Everyone: My apologies for not including a descriptive title; I was just very distracted: In the page: http://en.wikipedia.org/wiki/Closed_...erential_forms [Broken] there is a reference to the form dw= (xdx/(x^2+y^2) -ydy/(x^2+y^2) ) , next to which there is the graph of " the vector field associated with dw" , which I think is just the vector field V(x,y)=(x/(x^2+y^2),-y/(dx^2+y^2) )., so that it just seems that the assignment is: V(x,y)=(f(x,y),g(x,y))->fdx+gdy is the assignment. Now, I know forms are dual to vector fields, and, both being finite-dimensional spaces, the vector space of fields ( in a tangent space) is isomorphic to the space of forms (cotangent bundle), but I am not aware of any special correspondence between the two. Any Ideas? What Would Gauss Do (WWGD)? Thanks.