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# A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

Published:1999-06-01
Printed: Jun 1999
• Hyoungsick Bahn
• Paul Ehrlich
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## 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]

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