30 citations · 47 across the 18 of their papers we have counts for
4 papers · 2 filters
Comparison geometry for substatic manifolds and a weighted Isoperimetric Inequality
Stefano Borghini, Mattia Fogagnolo
Substatic Riemannian manifolds with minimal boundary arise naturally in General Relativity as spatial slices of static spacetimes satisfying the Null Energy Condition. Moreover, th…
The equality case in the substatic Heintze-Karcher inequality
Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti
We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove…
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…