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Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds |
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| Authors: | Andrei Agrachev Paul W Y Lee |
| Institution: | 1. International School for Advanced Studies, via Beirut 4, 34014?, Trieste, Italy 2. Steklov Mathematical Institute, ul. Gubkina 8, Moscow, 119991, Russia 3. The Chinese University of Hong Kong, Room 216, Lady Shaw Building, Shatin, Hong Kong |
| 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 necessary and sufficient conditions for a three dimensional contact subriemannian manifold to satisfy this property. |
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