Francesca Oronzio

collaborators

8 papers

math.DG2026

Weighted decomposition of vector fields, $X$ -ADM mass, and higher-dimensional mass-charge inequalities

Francesca Oronzio

We study the $X$ -ADM mass on complete, one-ended asymptotically flat Riemannian manifolds without boundary in arbitrary dimension $n ⩾ 3$ . Starting from a weighted gradient-…

math.DG2026

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…

math.DG2026

$X$ -ADM Mass and $X$ -Positive Mass Theorem

Carlo Mantegazza, Francesca Oronzio

For a given admissible vector field $X$ , we define a geometric quantity for asymptotically flat $3$ --manifolds, called $X$ --ADM mass and we establish a relative positive mass theor…

math.DG2026

Nonlinear potential theory and Ricci-pinched 3-manifolds

Luca Benatti, Ariadna LeÃ³n QuirÃ³s, 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 $(M, g)$ be a complete, connected, non…

math.DG2026

A Note on Ricci-pinched three-manifolds

Luca Benatti, Carlo Mantegazza, Francesca Oronzio +1

Let $(M, g)$ be a complete, connected, non-compact Riemannian $3$ -manifold. Suppose that $(M, g)$ satisfies the Ricci--pinching condition $Ric \geq ε R g$ f…

math.DG2025

Green functions and a positive mass theorem for asymptotically hyperbolic $3$ -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 $1$ . The mass quantity under consideration is the…

Weighted decomposition of vector fields, X-ADM mass, and higher-dimensional mass-charge inequalities

Distance Functions, Curvature and Topology

X-ADM Mass and X-Positive Mass Theorem

Nonlinear potential theory and Ricci-pinched 3-manifolds

A Note on Ricci-pinched three-manifolds

Green functions and a positive mass theorem for asymptotically hyperbolic 3-manifolds

Weighted decomposition of vector fields, $X$ -ADM mass, and higher-dimensional mass-charge inequalities

$X$ -ADM Mass and $X$ -Positive Mass Theorem

Green functions and a positive mass theorem for asymptotically hyperbolic $3$ -manifolds