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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
2018. Vol. 146, no 9, p. 4039-4046
National Category
Geometry
Identifiers
URN: urn:nbn:se:uu:diva-340225DOI: 10.1090/proc/14047ISI: 000438582900037OAI: oai:DiVA.org:uu-340225DiVA, id: diva2:1178087
Funder
Knut and Alice Wallenberg FoundationAvailable from: 2018-01-28 Created: 2018-01-28 Last updated: 2018-10-08Bibliographically approved

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McCormick, Stephen

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