most citedADM mass, area and capacity in asymptotically flat -manifolds with nonnegative scalar curvature

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math.DG2025

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…

math.DG2024

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…

math.DG2022★ 1 cited

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,…