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VOL. 57 | 2010 On a method to disprove generalized Brunn–Minkowski inequalities
Nicolas Juillet

Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai

Abstract

We present a general method to disprove generalized Brunn–Minkowski inequalities. We initially developed this method in [14] in the particular case of the sub-Riemannian Heisenberg group in order to prove that this space does not satisfy a curvature-dimension condition in the sense of Lott–Villani and Sturm.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1216.28007
MathSciNet: MR2648260

Digital Object Identifier: 10.2969/aspm/05710189

Subjects:
Primary: 28A75, 53C17

Rights: Copyright © 2010 Mathematical Society of Japan

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