Skip to main content

Francesca Oronzio: Some inequalities involving the ADM mass via the potential theory

Time: Thu 2023-11-16 10.15 - 11.15

Location: 3721, Lindstedtsvägen 25

Language: English

Participating: Francesca Oronzio, KTH

Export to calendar

In this talk, we describe some monotonicity formulas holding along the regular level sets of suitable p–harmonic functions in asymptotically flat Riemannian 3–manifolds with a single end, with or without boundary, having nonnegative scalar curvature. Using such formulas, we obtain some geometric inequalities, including the positive mass inequality and the Riemannian Penrose inequality. The talk is based on joint works with V. Agostiniani, C. Mantegazza and L. Mazzieri.