Alexandrov meets Lott-Villani-Sturm

Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound for sectional curvature in the sense of Alexandrov and the lower bound for Ricci curvature in the sense of Lott-Villani-Sturm.

Author: Petrunin, Anton
Division/Institute:FB 10: Mathematik und Informatik
Document types:Article
Media types:Text
Publication date:2011
Date of publication on miami:14.11.2011
Modification date:08.05.2015
Source:Münster Journal of Mathematics, 4 (2011), S. 53-64
Edition statement:[Electronic ed.]
DDC Subject:510: Mathematik
License:InC 1.0
Language:English
Format:PDF document
URN:urn:nbn:de:hbz:6-32449569769
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-32449569769
Digital documents:mjm_vol_4_03.pdf

Here I show the compatibility of two definitions of generalized curvature bounds: the lower bound for sectional curvature in the sense of Alexandrov and the lower bound for Ricci curvature in the sense of Lott-Villani-Sturm.