21 citations · 22 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
Virginia Agostiniani, Mattia Fogagnolo, Lorenzo Mazzieri
In this paper we consider complete noncompact Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth, of dimension . We prove a sharp…