body: dx^{i_{k}})\left({\frac {\partial }{\partial x^{i_{1}}}},\ldots ,{\frac {\partial }{\partial x^{i_{k}}}}\right)={\frac {1}{k!}}.} {\displaystyle (dx^{i_{1}}\wedge \cdots \wedge dx^{i_{k}})\left({\frac