Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure

@article{Ambrosio2015RiemannianRC,
  title={Riemannian Ricci curvature lower bounds in metric measure spaces with -finite measure},
  author={Luigi Ambrosio and Nicola Gigli and Andrea Mondino and Tapio Rajala},
  journal={Transactions of the American Mathematical Society},
  year={2015},
  volume={367},
  pages={4661-4701}
}
In prior work (4) of the first two authors with Savare, a new Riemannian notion of lower bound for Ricci curvature in the class of metric measure spaces (X,d,m) was introduced, and the corresponding class of spaces denoted by RCD(K,∞). This notion relates the CD(K,N) theory of Sturm and Lott-Villani, in the case N = ∞, to the Bakry-Emery approach. In (4) the RCD(K,∞) property is defined in three equivalent ways and several properties of RCD(K,∞) spaces, including the regularization properties… Expand
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