Convergence of energy functionals and stability of lower bounds of Ricci curvature via metric measure foliation
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Publication:6043436
DOI10.4310/CAG.2022.V30.N6.A4zbMATH Open1523.53047arXiv1804.00407OpenAlexW2898224561MaRDI QIDQ6043436
Author name not available (Why is that?)
Publication date: 5 May 2023
Published in: (Search for Journal in Brave)
Abstract: The notion of the metric measure foliation is introduced by Galaz-Garc'ia, Kell, Mondino, and Sosa. They studied the relation between a metric measure space with a metric measure foliation and its quotient space. They showed that the curvature-dimension condition and the Cheeger energy functional preserve from a such space to its quotient space. Via the metric measure foliation, we investigate the convergence theory for a sequence of metric measure spaces whose dimensions are unbounded.
Full work available at URL: https://arxiv.org/abs/1804.00407
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