Isoperimetric inequalities for sectors in the Minkowski 2-spacetime
type: Item
instance of: scholarly article
title: Isoperimetric inequalities for sectors in the Minkowski 2-spacetime
zbMATH Open document ID: 0918.53024
DOI: 10.1007/BF01221234
author: Hyoungsick Bahn
author: Sungpyo Hong
published in: Journal of Geometry
publication date: 1999-08-10T00:00:00Z
review text: The main result of this paepr is an isoperimetric inequality \(L^2 \leq 2 \phi_0 A\) for timelike sectors in Minkowski 2-spacetime bounded by an achronal spacelike curve \(\Gamma\) and two timelike rays from a point \(O\) with hyperbolic angle \(\phi_0\) at \(O\). Equality holds iff \(\Gamma\) is a Lorentzian circular arc centered at \(O\).
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 1268129
zbMATH Keywords: isoperimetric inequality
zbMATH Keywords: Minkowski 2-spacetime
zbMATH Keywords: curves
reviewed by: Eberhard Teufel
MaRDI profile type: Publication
cites work: A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries
cites work: Q3876353
cites work: A relativistic version of the Gauss-Bonnet formula
cites work: Q3283426
full work available at URL: https://doi.org/10.1007/bf01221234
OpenAlex ID: W2053285142
description: scientific article; zbMATH DE number 1268129