Localization and tensorization properties of the curvature-dimension condition for metric measure spaces, II |
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| Authors: | Qintao Deng Karl-Theodor Sturm |
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| Affiliation: | a School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, PR China;b Institute for Applied Mathematics, University of Bonn, Endenicher Allee 60, 53115 Bonn, Germany |
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| Abstract: | This is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization properties of the curvature-dimension condition for metric measure spaces, J. Funct. Anal. 259 (2010) 28-56]. We prove the tensorization property for the curvature-dimension condition, add some detailed calculations - including explicit dependence of constants - and comment on assumptions and conjectures concerning the local-to-global statement in Bacher and Sturm (2010) [1] and Villani (2009) [6], respectively. |
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| Keywords: | Metric measure space Curvature-dimension condition Optimal transport |
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