5 papers
Riemannian Penrose Inequality for Manifolds with Corners via Non-Linear Potential Theory
Virginia Agostiniani, Christina Karapiperi, Lorenzo Mazzieri
We present a new proof of the Positive Mass Theorem and the Riemannian Penrose Inequality for three-dimensional asymptotically flat Riemannian manifolds whose metrics fail to be $C…
Mass-type invariants in the presence of a cosmological constant
Virginia Agostiniani, Stefano Borghini, Lorenzo Mazzieri
In this paper, we introduce a new family of mass-type invariants for time-symmetric initial data in space-times satisfying the Dominant Energy Condition. For positive cosmological…
On the Serrin problem for ring-shaped domains: the -dimensional case
Virginia Agostiniani, Chiara Bernardini, Stefano Borghini +1
We provide several characterizations of ring-shaped rotationally symmetric solutions to the Serrin problem in arbitrary dimensions.
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…
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…