The Riemannian Penrose inequality via nonlinear potential theory

by Carlo Mantegazza (Università di Napoli)

Monday 11 Jul 2022, 17:30 → 18:30 Europe/Rome

Aula Magna (Dipartimento di Matematica)

We will discuss the Riemannian Penrose inequality in an asymptotically flat 3-manifold with nonnegative scalar curvature and the main points of a new proof by means of a monotonicity formula holding along the level sets of the p-capacitary potentials of the horizon boundary.

Joint work with Virginia Agostiniani, Lorenzo Mazzieri and Francesca Oronzio.