Let ; consider the form in defined by

(a) Show that

(b) Show that there is a -form on , such that

Please help!!!

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- Dec 5th 2012, 11:03 PMvercammenTopology. Computational exercise.
Let ; consider the form in defined by

(a) Show that

(b) Show that there is a -form on , such that

Please help!!! - Dec 6th 2012, 07:55 AMxxp9Re: Topology. Computational exercise.
(a)

(b) since , for any close loop not enclosing 0, we have

so we can define , where is fixed and the line integral goes on any curve that not crossing 0.

Choose , and the curve from (1, 0) to p(x0,y0) be from (1,0) to (x0,0), then from (x0, 0) to (x0,y0)

we get

=