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The Minkowski
inequality in de Sitter space
Julian Scheuer |
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Vol. 314 (2021), No. 2, 425–449
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Abstract |
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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. 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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Keywords
Minkowski inequality, locally constrained curvature flow,
de Sitter space
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Mathematical Subject Classification
Primary: 53C21, 53E10
Secondary: 39B62
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Milestones
Received: 1 June 2020
Revised: 12 July 2021
Accepted: 5 August 2021
Published: 10 November 2021
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Authors |
| Julian Scheuer | |
| Cardiff University Cardiff Wales United Kingdom |
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