Collapsed Ricci limit spaces as non-collapsed $RCD$ spaces
Differential Geometry
2020-04-02 v3 Metric Geometry
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.
Cite
@article{arxiv.2002.08612,
title = {Collapsed Ricci limit spaces as non-collapsed $RCD$ spaces},
author = {Shouhei Honda},
journal= {arXiv preprint arXiv:2002.08612},
year = {2020}
}
Comments
Dedicated to Misha Gromov's 75th birthday