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arXiv · 2608.27103

An isoperimetric characterization of a new ADM-like mass for $C^0$-asymptotically flat manifolds

Luca Benatti·Mattia Fogagnolo
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Abstract

We prove that the notion of mass recently introduced by Mazurowski and Yao for continuous metrics coincides with Huisken's isoperimetric mass on smooth Riemannian $3$-manifolds with nonnegative scalar curvature whose metric has sharp $C^0$-asymptotically flat behavior. As a consequence, we deduce a Riemannian Penrose inequality for the mass parameter of asymptotically Schwarzschildian $3$-manifolds.

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Luca Benatti, Mattia Fogagnolo. 2026-08-27. An isoperimetric characterization of a new ADM-like mass for $C^0$-asymptotically flat manifolds. https://arxiv.org/abs/2608.27103

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