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Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds

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arxiv 0903.2550 v4 pith:RALSNACD submitted 2009-03-16 math.DG math.MG

Generalized Ricci Curvature Bounds for Three Dimensional Contact Subriemannian manifolds

Andrei Agrachev , Paul Lee This is my paper
classification math.DG math.MG
keywords contactcurvaturedimensionalmeasurepropertyriccisubriemannianthree
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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.

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