- #1

Maxi1995

- 14

- 0

Hello,

we defined the wedge-product as follows

Alt is the Alternator and the argument of Alt is the Tensor poduct of one k-form and a l-form (in this order w and eta).

Suppose we have the wedge product of a 0-form (a smooth function) and a l-form , so the following may result:

$$\frac{1}{l!} \sum_{\sigma \in S_k} sgn(\sigma) f \eta(v_{\sigma(1)},...,v_{\sigma(l)}).$$

Does it hold to say that it is equal to $$f*\eta?$$

we defined the wedge-product as follows

Alt is the Alternator and the argument of Alt is the Tensor poduct of one k-form and a l-form (in this order w and eta).

Suppose we have the wedge product of a 0-form (a smooth function) and a l-form , so the following may result:

$$\frac{1}{l!} \sum_{\sigma \in S_k} sgn(\sigma) f \eta(v_{\sigma(1)},...,v_{\sigma(l)}).$$

Does it hold to say that it is equal to $$f*\eta?$$