We study metric invariants of Riemannian manifolds $X$ defined via the $\mathbb T^\rtimes$-{\it stabilized scalar curvatures} of manifolds $Y$ mapped to $X$ and prove in some cases additivity of these invariants under Riemannian products $X_1\times X_2$.PDF: Product Inequalities for $\mathbb T^\rtimes$-Stabilized Scalar Curvature.pdf
