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<title>Stefano Nardulli — Neckpinch</title><link>https://neckpinch.com/authors/stefano-nardulli/</link><description>New arXiv papers by Stefano Nardulli, from Neckpinch</description>
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<item><title>Positive mass and isoperimetry for continuous metrics with nonnegative scalar curvature</title><link>https://neckpinch.com/papers/2403.15972/</link><guid isPermaLink="false">arxiv:2403.15972</guid><pubDate>Sun, 24 Mar 2024 00:00:00 GMT</pubDate><description>Gioacchino Antonelli, Mattia Fogagnolo, Stefano Nardulli, Marco Pozzetta — This paper deals with quasi-local isoperimetric versions of the positive mass theorem on 3-manifolds endowed with continuous complete metrics having nonnegative scalar curvature in a suitable weak sense. As a corollary, we derive existence results for isoperimetric sets in such low regularity setting. Our main tool is a new local version of the weak inverse mean curvature flow enjoying C⁰-stable quantitative estimates.</description><category>Mean curvature flow</category><category>Other curvature flows</category><category>Inverse mean curvature flow</category><category>Scalar curvature</category><category>Geometric inequalities</category><category>Physics</category></item>
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