On a Penrose-Like Inequality in Dimensions Less than Eight

Stephen McCormick, Pengzi Miao

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3 Scopus citations

Abstract

On an asymptotically flat manifold $M^n$ with nonnegative scalar curvature, with outer minimizing boundary $\Sigma$, we prove a Penrose-like inequality in dimensions $n < 8$, under suitable assumptions on the mean curvature and the scalar curvature of $\Sigma$.

Original languageEnglish (US)
Article numberrnx181
Pages (from-to)2069-2084
Number of pages16
JournalInternational Mathematics Research Notices
Volume2019
Issue number7
DOIs
StatePublished - Apr 1 2019

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ASJC Scopus subject areas

  • Mathematics(all)

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