Abstract view

# A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

Published:1999-06-01
Printed: Jun 1999
• Hyoungsick Bahn
• Paul Ehrlich
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

In this article, we derive a Brunn-Minkowski type theorem for sets bearing some relation to the causal structure on the Minkowski spacetime $\mathbb{L}^{n+1}$. We also present an isoperimetric inequality in the Minkowski spacetime $\mathbb{L}^{n+1}$ as a consequence of this Brunn-Minkowski type theorem.
 Keywords: Minkowski spacetime, Brunn-Minkowski inequality, isoperimetric inequality
 MSC Classifications: 53B30 - Lorentz metrics, indefinite metrics 52A40 - Inequalities and extremum problems 52A38 - Length, area, volume [See also 26B15, 28A75, 49Q20]