Collapsed ricci limit spaces as non-collapsed rcd spaces

Research output: Contribution to journalArticle

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 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)
Volume16
DOIs
Publication statusPublished - 2020 Jan 1

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

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