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On a Minkowski-like inequality for asymptotically flat static manifolds

MCCORMICK, STEPHEN

Proceedings of the American Mathematical Society, 2018, Vol.146 (9), p.4039-4046 [Periódico revisado por pares]

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Título:
On a Minkowski-like inequality for asymptotically flat static manifolds
Autor: MCCORMICK, STEPHEN
Assuntos: D. GEOMETRY ; Geometri ; Geometry ; Matematik ; Mathematics ; Natural Sciences ; Naturvetenskap
É parte de: Proceedings of the American Mathematical Society, 2018, Vol.146 (9), p.4039-4046
Descrição: 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 \mathbb{R}^n; 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.
Editor: American Mathematical Society
Idioma: Inglês

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