9 citations · 16 across the 12 of their papers we have counts for
12 papers
Weighted decomposition of vector fields, -ADM mass, and higher-dimensional mass-charge inequalities
Francesca Oronzio
We study the -ADM mass on complete, one-ended asymptotically flat Riemannian manifolds without boundary in arbitrary dimension . Starting from a weighted gradient-…
Distance Functions, Curvature and Topology
Carlo Mantegazza, Francesca Oronzio
We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of the manifolds. This leads to alternative proofs of some…
-ADM Mass and -Positive Mass Theorem
Carlo Mantegazza, Francesca Oronzio
For a given admissible vector field , we define a geometric quantity for asymptotically flat --manifolds, called --ADM mass and we establish a relative positive mass theor…
Green functions and a positive mass theorem for asymptotically hyperbolic -manifolds
Klaus Kroencke, Francesca Oronzio, Alan Pinoy
We prove a new positive mass theorem for three-dimensional manifolds which are asymptotically hyperboloidal of order greater than . The mass quantity under consideration is the…
Area, Volume and Capacity in non--compact --manifolds with non--negative scalar curvature
Francesca Oronzio
Let be a --dimensional, complete, one--ended Riemannian manifold, with a minimal, compact and connected boundary. We assume that has a simple topology and that the s…
Nonlinear potential theory and Ricci-pinched 3-manifolds
Luca Benatti, Ariadna León Quirós, Francesca Oronzio +1
In this paper, we focus on Hamilton's pinching conjecture formulated in Hamilton's paper "Three-manifolds with positive Ricci curvature". Let be a complete, connected, non…
A Note on Ricci-pinched three-manifolds
Luca Benatti, Carlo Mantegazza, Francesca Oronzio +1
Let be a complete, connected, non-compact Riemannian -manifold. Suppose that satisfies the Ricci--pinching condition f…
A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D
Vesa Julin, Massimiliano Morini, Francesca Oronzio +1
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp qua…
ADM mass, area and capacity in asymptotically flat -manifolds with nonnegative scalar curvature
Francesca Oronzio
We show an improvement of Bray sharp mass-capacity inequality and Bray-Miao sharp upper bound of the capacity of the boundary in terms of its area, for three-dimensional, complete,…
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…
A Green's function proof of the Positive Mass Theorem
V. Agostiniani, L. Mazzieri, F. Oronzio
In this paper, a new proof of the Positive Mass Theorem is established through a newly discovered monotonicity formula, holding along the level sets of the Green's function of an a…
A geometric capacitary inequality for sub-static manifolds with harmonic potentials
Virginia Agostiniani, Lorenzo Mazzieri, Francesca Oronzio
In this paper, we prove that associated with a sub-static asymptotically flat manifold endowed with a harmonic potential there is a one-parameter family of functions whic…