So I was wondering about this... if [tex]\omega[/tex] is a [tex]k[/tex]-form and [tex]\eta[/tex] is a [tex]l[/tex]-form, and [tex]m[/tex] is a [tex]k+l+1[/tex] manifold in [tex]\mathbb{R}^n[/tex], what's the relationship between [tex]\int_M \omega\wedge d\eta[/tex] and [tex]\int_M d\omega\wedge \eta[/tex](adsbygoogle = window.adsbygoogle || []).push({});

given the usual niceness of things being defined where they should be, etc. etc. The manifold has no boundary, so am I correct in writing [tex]\int_{\partial M}\omega\wedge\eta=0[/tex]?

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# Switching d

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