In Nakahara's book, the interior product is defined like this :
[itex]i_{x} \omega = \frac{1}{r!} \sum\limits_{s=1}^r X^{\mu_{s}} \omega_{\mu_{1}...\mu_{s}...\mu_{r}}(-1)^{s-1}dx^{\mu_{1}} \wedge ...\wedge dx^{u_{s}} \wedge...\wedge dx^{\mu_{r}}[/itex]
Can someone give me please a concret example of this? I can't make sense out of it. For example, how does this look explicit with [itex]i_{e_{x}}(dx \wedge dy) = dy[/itex]?
Greets
[itex]i_{x} \omega = \frac{1}{r!} \sum\limits_{s=1}^r X^{\mu_{s}} \omega_{\mu_{1}...\mu_{s}...\mu_{r}}(-1)^{s-1}dx^{\mu_{1}} \wedge ...\wedge dx^{u_{s}} \wedge...\wedge dx^{\mu_{r}}[/itex]
Can someone give me please a concret example of this? I can't make sense out of it. For example, how does this look explicit with [itex]i_{e_{x}}(dx \wedge dy) = dy[/itex]?
Greets
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