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

Date: 2023-07-13

Time: 14:30 - 14:55

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Francesca Oronzio, Università degli studi di Roma “La Sapienza”


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 results discussed were obtained through a collaboration with Virginia Agostiniani, Carlo Mantegazza and Lorenzo Mazzieri.