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Alexandrov meets Lott--Villani--Sturm

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arxiv 1003.5948 v3 pith:XJ7CTMUH submitted 2010-03-30 math.MG math.DGmath.OC

classification math.MGmath.DGmath.OC
keywords curvaturealexandrovboundlott--villani--sturmlowersenseboundscompatibility
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Here I show compatibility of two definition of generalized curvature bounds --- the lower bound for sectional curvature in the sense of Alexandrov and lower bound for Ricci curvature in the sense of Lott--Villani--Sturm.

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