Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

[thumbnail of The_Minkowski_inequality_in_de_Sitter_space_Cardiff.pdf]
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 Edit Item

Downloads

Downloads per month over past year

View more statistics