Local Hölder continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry

Abraham Muñoz Flores, Stefano Nardulli

For a complete noncompact connected Riemannian manifold with bounded geometry $M^n$, we prove that the isoperimetric profile function $I_{M^n}$ is a locally $\left(1-\frac{1}{n}\ri…