Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Probabilistic Approach to Geometry, M. Kotani, M. Hino and T. Kumagai, eds. (Tokyo: Mathematical Society of Japan, 2010), 189 - 198
On a method to disprove generalized Brunn–Minkowski inequalities
We present a general method to disprove generalized Brunn–Minkowski inequalities. We initially developed this method in  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.
Received: 16 January 2009
Revised: 3 September 2009
First available in Project Euclid: 24 November 2018
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Juillet, Nicolas. On a method to disprove generalized Brunn–Minkowski inequalities. Probabilistic Approach to Geometry, 189--198, Mathematical Society of Japan, Tokyo, Japan, 2010. doi:10.2969/aspm/05710189. https://projecteuclid.org/euclid.aspm/1543086319