On low-dimensional ricci limit spaces

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8 Citations (Scopus)


We call a Gromov-Hausdorff limit of complete Riemannian manifolds with a lower bound of Ricci curvature a Ricci limit space. Furthermore, we prove that any Ricci limit space has integral Hausdorff dimension, provided that its Hausdorffdimension is not greater than 2. We also classify 1-dimensional Ricci limit spaces.

Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalNagoya Mathematical Journal
Publication statusPublished - 2013 Mar


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