Product Inequalities for 𝕋⋊-Stabilized Scalar Curvature

Abstract

We study metric invariants of Riemannian manifolds 𝑋 defined via the 𝕋⋊-stabilized scalar curvatures of manifolds 𝑌 mapped to 𝑋 and prove in some cases the additivity of these invariants under Riemannian products 𝑋₁ × 𝑋₂.