Collapsed ricci limit spaces as non-collapsed rcd spaces

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2 Citations (Scopus)


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

Original languageEnglish
Article number021
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Publication statusPublished - 2020


  • Hausdorff measure
  • Laplacian
  • Metric measure space
  • Ricci curvature


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