PhD Thesis
Inserted: 23 may 2022
Last Updated: 23 may 2022
Year: 2022
Notes:
Advisors: Carlo Mantegazza and Virginia Agostiniani
Abstract:
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.
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