9 citations · 14 across the 6 of their papers we have counts for
6 papers
An isoperimetric characterization of a new ADM-like mass for -asymptotically flat manifolds
Luca Benatti, Mattia Fogagnolo
We prove that the notion of mass recently introduced by Mazurowski and Yao for continuous metrics coincides with Huisken's isoperimetric mass on smooth Riemannian -manifolds wit…
Isoperimetric sets in nonnegative scalar curvature and their role through various concepts of mass
Luca Benatti, Mattia Fogagnolo
We review some recent results about the relations among isoperimetric sets, Penrose inequalities and related concepts in the analysis of -manifolds of nonnegative scalar curvatu…
Nonlinear Isocapacitary Concepts of Mass in 3-Manifolds with Nonnegative Scalar Curvature
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
We deal with suitable nonlinear versions of Jauregui's isocapacitary mass in 3-manifolds with nonnegative scalar curvature and compact outermost minimal boundary. These masses, whi…
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…
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…
Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature
Luca Benatti, Mattia Fogagnolo, Lorenzo Mazzieri
In this paper we consider Riemannian manifolds of dimension at least , with nonnegative Ricci curvature and Euclidean Volume Growth. For every open bounded subset with smooth bo…