Analysis Seminar

The Riemannian Penrose inequality via nonlinear potential theory

by Carlo Mantegazza (Università di Napoli)

Aula Magna (Dipartimento di Matematica)

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.