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

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arxiv 1712.09900 v2 pith:7YMHTUIV submitted 2017-12-28 math.DG

Zeinab Badreddine (McTAO , JAD) , Ludovic Rifford (McTAO This is my paper · ORCID
classification math.DG
keywords analyticmeasurecarnotcontractiongroupslipschitzpropertiesstructures
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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.

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  1. The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifolds

    math.FA 2019-08 accept novelty 8.0 of 10

    A quasi-convex relaxation of the curvature-dimension condition gives dimension-independent Poincaré and log-Sobolev constants on Heisenberg groups and other sub-Riemannian manifolds, up to a universal factor.

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