ADM mass and potential theory
Time: Thu 2023-01-12 10.15 - 11.15
Location: D37, Lindstedtsvägen 9
Language: English
Participating: Francesca Orionzo, Universita' 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.