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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 Minkowski spacetime, Brunn-Minkowski inequality, isoperimetric inequality
MSC Classifications: 53B30, 52A40, 52A38 show english descriptions Lorentz metrics, indefinite metrics
Inequalities and extremum problems
Length, area, volume [See also 26B15, 28A75, 49Q20]
53B30 - Lorentz metrics, indefinite metrics
52A40 - Inequalities and extremum problems
52A38 - Length, area, volume [See also 26B15, 28A75, 49Q20]
 

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