Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 16 (2020), 021, 10 pages      arXiv:2002.08612      https://doi.org/10.3842/SIGMA.2020.021
Contribution to the Special Issue on Scalar and Ricci Curvature in honor of Misha Gromov on his 75th Birthday

Collapsed Ricci Limit Spaces as Non-Collapsed RCD Spaces

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

Received February 20, 2020, in final form March 25, 2020; Published online April 01, 2020

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.

Key words: metric measure space; Ricci curvature; Laplacian; Hausdorff measure.

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