3 papers
math.DG2026
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…
math.DG2023
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…
math.DG2023
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…