Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds

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.

49 pages

References in corpus (1)

• Generalized Bochner formulas and Ricci lower bounds for sub-Riemannian manifolds of rank two

Cited by in corpus (3)

• A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality
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• On the curvature and heat flow on Hamiltonian systems