A.A. Agrachev, P. Lee, Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds

Title: Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds
Authors: A.A. Agrachev, P. Lee
Journal title: Math. Ann.
Year: 2014
Volume: 360
Pages: 209-253
Abstract:

Measure contraction property is one of the possible generalizations of Ricci curvature bound to more general metric measure spaces. In this paper, we discover sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this property.