Lower bounds for isoperimetric profiles and Yamabe constants

We estimate explicit lower bounds for the isoperimetric profiles of the Riemannian product of a compact manifold and the Euclidean space with the flat metric, (M-m x R-n, (g)+(gE)), m, n > 1. In particular, we introduce a lower bound for the isoperimetric profile of Mm x Rn for regions of large volume and we improve on previous estimates of lower bounds for the isoperimetric profiles of S(2 )x R-2, S-3 x R-2, S-2 x R-3. We also discuss some applications of these results in order to improve known lower bounds for the Yamabe invariant of certain product manifolds.(c) 2023 Elsevier B.V. All rights reserved.