Scheuer, Julian  ORCID: https://orcid.org/0000-0003-2664-1896
2021.
The Minkowski inequality in De Sitter space.
Pacific Journal of Mathematics
314
(2)
, pp. 425-449.
10.2140/pjm.2021.314.425
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Official URL: https://doi.org/10.2140/pjm.2021.314.425
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.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Uncontrolled Keywords: | Minkowski inequality; Locally constrained curvature flow; De Sitter space |
| Publisher: | Mathematical Sciences Publishers (MSP) |
| ISSN: | 0030-8730 |
| Funders: | Deutsche Forschungsgemeinschaft (German Research Foundation, DFG) |
| Date of First Compliant Deposit: | 6 October 2021 |
| Date of Acceptance: | 5 August 2021 |
| Last Modified: | 04 May 2023 10:24 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/143552 |
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