The Minkowski inequality in De Sitter space

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

Preview

PDF - Published Version Download (396kB) | Preview

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:	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

Citation Data

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item