Question: Problem 3. (max. 15 points) Let w1 and w2 be smooth k-forms defined on all of R (with k> 1). Show that wi and w2

Problem 3. (max. 15 points) Let w1 and w2 be smooth k-forms defined on all of R" (with k> 1). Show that wi and w2 have the same exterior derivative, that is, dw1 = dw2, if and only if W1 = w2 + dn for some smooth (k - 1)-form n on Rx

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