From Munkres "Analysis on Manifolds" Consider the form $ \omega = xydx + 3dy -yzdz $. Check by direct computation that $ d(d\omega) = 0 $. Can someone show me how to do it, because I don't seem to be getting how to compute these differentials...
Compute the differential of a form
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analysis
differential-forms
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0If $\omega= f(x,y)dx+g(x,y)dy$, can you compute $d\omega$ in function of the partial derivatives of $f$ and $g$? The idea is the same for three variables. – 2012-11-27
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0If $\omega = \sum f_idx_i$, then $d\omega = \sum (df_i)\wedge dx_i$. – 2012-11-27
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0Ok, I got it. I was a little confused with variables, but I think I finally understood it. – 2012-11-27
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1You can answer your question. – 2012-11-27