Let $M$ be a smooth manifold, let $g$ be a Riemannian metric on $M$, and let $\tilde g=\lambda g$ with $\lambda>0$. Then $\operatorname{Rm}(\tilde g)=\lambda\operatorname{Rm}(g)$ as a $(0,4)$-tensor, $\operatorname{Ric}(\tilde g)=\operatorname{Ric}(g)$ as a $(0,2)$-tensor, $R(\tilde g)=\lambda^{-1}R(g)$, and $|\operatorname{Rm}(\tilde g)|_{\tilde g}=\lambda^{-1}|\operatorname{Rm}(g)|_g$.