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On a Minkowski-like inequality for asymptotically flat static manifolds
Institutionen för Matematik, Kungliga Tekniska högskolan, 100 44 Stockholm, Sweden.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 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
National Category
Mathematical Analysis
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URN: urn:nbn:se:ltu:diva-95210DOI: 10.1090/proc/14047ISI: 000438582900037Scopus ID: 2-s2.0-85049929419OAI: oai:DiVA.org:ltu-95210DiVA, id: diva2:1725107
Available from: 2023-01-10 Created: 2023-01-10 Last updated: 2023-05-08Bibliographically approved

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McCormick, Stephen

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