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Special Riemannian Metrics and Curvature Functionals

The Riemannian Penrose inequality via nonlinear potential theory

speaker: Carlo Mantegazza (Università di Napoli Federico II )

abstract: 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.

timetable:
Thu 9 Jun, 11:00 - 12:00, Aula Dini
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