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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2020 Volume 16, 021, 10 pp. (Mi sigma1558)

This article is cited in 1 paper

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

Shouhei Honda

Mathematical Institute, Tohoku University, Sendai 980-8578, Japan

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.

MSC: 53C20; 53C21; 53C23

Received: February 20, 2020; in final form March 25, 2020; Published online April 1, 2020

Language: English

DOI: 10.3842/SIGMA.2020.021



Bibliographic databases:
ArXiv: 2002.08612


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