Is there a name for the linear mapping [itex]f^*:\wedge^k(R^{m}_{f(p)}) \rightarrow \wedge^k(R^{n}_{p})[/itex] where f is a differentiable mapping from [itex]R^n \rightarrow R^m[/itex].(adsbygoogle = window.adsbygoogle || []).push({});

When k is 1, f* is called the adjoint of f. But what about k > 1?

Also can someone show me a proof of [itex]f^*(d\omega)=d(f^*\omega)[/itex] where [itex]\omega[/itex] is a 0-form.

Thanks

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# Some questions about f*

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