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math.DG2022★ 1 cited
ADM mass, area and capacity in asymptotically flat -manifolds with nonnegative scalar curvature
Francesca Oronzio
We show an improvement of Bray sharp mass-capacity inequality and Bray-Miao sharp upper bound of the capacity of the boundary in terms of its area, for three-dimensional, complete,…
math.DG2022★ 6 cited
Riemannian Penrose inequality via Nonlinear Potential Theory
Virginia Agostiniani, Carlo Mantegazza, Lorenzo Mazzieri +1
We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly…