On a method to disprove generalizedBrunn—Minkowski inequalities

摘要

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.