Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces

In this short note, we provide several conjectures on the regularity of measured Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded below, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Author: Honda, Shouhei
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210589
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces. Shouhei Honda. SIGMA 16 (2020), 021, 10 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine