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A Characterization of Some Mixed Volumes via the Brunn–Minkowski Inequality

✍ Scribed by Colesanti, Andrea; Hug, Daniel; Saorín Gómez, Eugenia

Book ID
125379425
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
418 KB
Volume
24
Category
Article
ISSN
1050-6926

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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 ) 1ÂN (1&t) vol 0 1ÂN 0 +t vol 0 1ÂN 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