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A Brunn-Minkowski Type Theorem on the Minkowski Spacetime

Published online by Cambridge University Press:  20 November 2018

Hyoungsick Bahn  and
Paul Ehrlich
Hyoungsick Bahn
Affiliation:
Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, South Korea email: bahn@euclid.postech.ac.kr
Paul Ehrlich
Affiliation:
Department of Mathematics, University of Florida, Gainesville, Florida 32611-8105, U.S.A. email: ehrlich@math.ufl.edu
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Abstract

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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

53B3052A4052A38Minkowski spacetimeBrunn-Minkowski inequalityisoperimetric inequality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 3 , 01 June 1999 , pp. 449 - 469
Copyright
Copyright © Canadian Mathematical Society 1999

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