Calculus of Variations and Geometric Measure Theory

F. Oronzio

ADM Mass and Linear Potential Theory

created by oronzio on 23 May 2022


PhD Thesis

Inserted: 23 may 2022
Last Updated: 23 may 2022

Year: 2022

Advisors: Carlo Mantegazza and Virginia Agostiniani


The aim of this thesis is to obtain geometric inequalities involving the ADM mass and the capacity of the boundary (if present) of complete and one--ended asymptotically flat manifolds with nonnegative scalar curvature, via monotonicity formulas holding along the level sets of appropriate harmonic functions.