Speaker
Dr
Fogagnolo, Mattia
(Università di Padova)
Description
I will illustrate a general principle, first devised by Kleiner in a special case, allowing to pass from mean curvature inequalities to isoperimetric inequalities in general noncompact Riemannian manifolds that can be exhausted by strictly mean convex domains. I will then describe a trichotomy theorem envisioned by Gromov allowing one to decide whether a manifold enjoys such property or not. The talk is based mainly on works in collaboration with Borghini, Mazzieri and Santilli.