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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 021, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.021 (Mi sigma1558) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Collapsed Ricci Limit Spaces as Non-Collapsed ${\rm RCD}$ Spaces

Shouhei Honda

Mathematical Institute, Tohoku University, Sendai 980-8578, Japan
Full-text PDF (398 kB) Citations (1)
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DOI: https://doi.org/10.3842/SIGMA.2020.021
Abstract: 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.
Keywords: metric measure space, Ricci curvature, Laplacian, Hausdorff measure.
Funding agency Grant number
Japan Society for the Promotion of Science 16K17585
18H01118
The author acknowledges supports of the Grantin-Aid for Young Scientists (B) 16K17585 and Grant-in-Aid for Scientific Research (B) of 18H01118.
Received: February 20, 2020; in final form March 25, 2020; Published online April 1, 2020
Bibliographic databases:
Document Type: Article
MSC: 53C20; 53C21; 53C23
Language: English
Citation: Shouhei Honda, “Collapsed Ricci Limit Spaces as Non-Collapsed ${\rm RCD}$ Spaces”, SIGMA, 16 (2020), 021, 10 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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