Francesca Oronzio

activity

20202026

most citedA Green's function proof of the Positive Mass Theorem

9 citations · 16 across the 12 of their papers we have counts for

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3 papers · 1 filter

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…

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

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

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