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On the equality conditions of the Brunn-Minkowski theorem

✍ Scribed by Klain, Daniel A.


Book ID
118219512
Publisher
American Mathematical Society
Year
2011
Tongue
English
Weight
181 KB
Volume
139
Category
Article
ISSN
0002-9939

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Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1Γ‚N (1&t) vol 0 1Γ‚N 0 +t vol 0 1Γ‚N 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl