Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups

Zeinab Badreddine (1, 2) , Ludovic Rifford (1, 2)

1 McTAO - Mathematics for Control, Transport and Applications
2 LJAD - Laboratoire Jean Alexandre Dieudonné

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 properties.

Domaines: Géométrie différentielle [math.DG]

Zeinab Badreddine, Ludovic Rifford. Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups. Annales de l'Institut Fourier, 2020, 70 (6). ⟨hal-01662544v2⟩