33 citations · 156 across the 35 of their papers we have counts for
43 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.
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…
Counterexamples to a divergence lower bound for the covariant derivative of skew-symmetric 2-tensor fields
Stefano Borghini, Lorenzo Mazzieri
In arXiv:2103.15482 an estimate for suitable skew-symmetric 2-tensors was claimed. Soon after, this estimate has been exploited to claim powerful classification results: most notab…
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…