Quantitative Isoperimetry à la Levy‐Gromov
Quantitative Isoperimetry à la Levy‐Gromov
On a Riemannian manifold with a positive lower bound on the Ricci tensor, the distance of isoperimetric sets from geodesic balls is quantitatively controlled in terms of the gap between the isoperimetric profile of the manifold and that of a round sphere of suitable radius. The deficit between the diameters …