2 papers
math.DG2017
Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups
Zeinab Badreddine, Ludovic Rifford
We prove that two-step analytic sub-Riemannian structures on a compact analytic manifold equipped with a smooth measure and Lipschitz Carnot groups satisfy measure contraction prop…
math.DG2017
Mass Transportation on sub-Riemannian structures of rank two in dimension four
Zeinab Badreddine
This paper is concerned with the study of the Monge optimal transport problem in sub-Riemannian manifolds where the cost is given by the square of the sub-Riemannian distance. Our…