articleBulletin of the American Mathematical SocietyApr 8, 2002DIAMOND OA

The Brunn-Minkowski inequality

RJRichard J. Gardner

Western Washington University

Indexed incrossref

Abstract

Wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of R n , and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.

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930
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23.10
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100%
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176
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Topics & keywords

Topics
Keywords
  • Isoperimetric inequality
  • Inequality
  • Minkowski inequality
  • Mathematics
  • Minkowski space
  • Kantorovich inequality
  • Pure mathematics
  • Mathematical economics
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