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arXiv · 1909.06837

The Minkowski inequality in de Sitter space

Julian Scheuer
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Abstract

The classical Minkowski inequality in the Euclidean space provides a lower bound on the total mean curvature of a hypersurface in terms of the surface area, which is optimal on round spheres. In this paper we employ a locally constrained inverse mean curvature flow to prove a properly defined analogue in the Lorentzian de Sitter space.

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Julian Scheuer. 2019-09-15. The Minkowski inequality in de Sitter space. https://doi.org/10.2140/pjm.2021.314.425

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