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math.DG2022★ 3 cited
On the Isoperimetric Riemannian Penrose Inequality
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
We prove that the Riemannian Penrose Inequality holds for Asymptotically Flat -manifolds with nonnegative scalar curvature and connected horizon boundary, provided the optimal d…
math.DG2022
The asymptotic behaviour of -capacitary potentials in Asymptotically Conical manifolds
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
We study the asymptotic behaviour of the -capacitary potential and of the weak Inverse Mean Curvature Flow of a bounded set along the ends of an Asymptotically Conical Riemannia…