= Pullback of a covariant tensor
{title2=$\phi^*\omega(V_1,\ldots,V_s)=\omega(d\phi V_1,\ldots,d\phi V_s)$}
The <pullback of a covariant tensor> composes each of its vector arguments with the <differential of a smooth map>. It takes a type $(0,s)$ tensor on the target to one on the source. Antisymmetry is not required; the <pullback of a differential form> is the alternating special case. If the target vectors are projected onto the image tangent space first, evaluating the pullback is unchanged.
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