On the measure contraction property of metric measure spaces
On the measure contraction property of metric measure spaces
We introduce a measure contraction property of metric measure spaces which can be regarded as a generalized notion of the lower Ricci curvature bound on Riemannian manifolds. It is actually equivalent to the lower bound of the Ricci curvature in the Riemannian case. We will generalize the Bonnet–Myers theorem, and …