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On a minkowski-like inequality for asymptotically flat static manifolds
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).ORCID iD: 0000-0001-9536-9908
2018 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 146, no 9, p. 4039-4046Article in journal (Refereed) Published
Abstract [en]

The Minkowski inequality is a classical inequality in differential geometry giving a bound from below on the total mean curvature of a convex surface in Euclidean space, in terms of its area. Recently there has been interest in proving versions of this inequality for manifolds other than ℝn; for example, such an inequality holds for surfaces in spatial Schwarzschild and AdS-Schwarzschild manifolds. In this note, we adapt a recent analysis of Y. Wei to prove a Minkowski-like inequality for general static asymptotically flat manifolds.

Place, publisher, year, edition, pages
American Mathematical Society (AMS), 2018. Vol. 146, no 9, p. 4039-4046
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Mathematics
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URN: urn:nbn:se:kth:diva-238339DOI: 10.1090/proc/14047ISI: 000438582900037Scopus ID: 2-s2.0-85049929419OAI: oai:DiVA.org:kth-238339DiVA, id: diva2:1263322
Note

QC 20191115

Available from: 2018-11-15 Created: 2018-11-15 Last updated: 2019-01-22Bibliographically approved

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McCormick, Stephen

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