The Brunn-Minkowski inequality (2002)
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R. J. Gardner
| Venue: | Bull. Amer. Math. Soc. (N.S |
| Citations: | 55 - 5 self |
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@ARTICLE{Gardner02thebrunn-minkowski,
author = {R. J. Gardner},
title = {The Brunn-Minkowski inequality},
journal = {Bull. Amer. Math. Soc. (N.S},
year = {2002},
volume = {39},
pages = {355--405}
}
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Abstract
Abstract. In 1978, Osserman [124] 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. 1.
