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5 votes

Wedge product and isomorphism between $\bigwedge^{k}T_{p}^{*}M$ and $\left(\bigwedge^{k}T_{p}M\right)^{*}$

$ \newcommand\Ext{\mathop{\textstyle\bigwedge}} \newcommand\ExtPow[1]{\mathop{\textstyle\bigwedge^{\mkern-1mu#1}}} \newcommand\Tensor{\mathop{\textstyle\bigotimes}} \newcommand\tensor{\otimes} \...
Nicholas Todoroff's user avatar
2 votes

Do functions distribute over the wedge product?

It's worth remembering that functions are 0-forms. So when we write $f\omega$, we're really writing $f \wedge \omega$, where $f$ is a 0-form and $\omega$ is a $k$-form, and the product is a (new) $k$-...
John Hughes's user avatar
2 votes

Do functions distribute over the wedge product?

They do. If you have the wedge product as an assignment of some member of the (nth) exterior product over the cotangent bundle to each point on your space ($\mathbb{R}^n$ or whatever it may be), then ...
Comma's user avatar
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