On low-dimensional ricci limit spaces

Shouhei Honda

doi:10.1215/00277630-1959442

On low-dimensional ricci limit spaces

Shouhei Honda

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Nagoya Mathematical Journal
Volume	209
DOIs	https://doi.org/10.1215/00277630-1959442
Publication status	Published - 2013 Mar

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On low-dimensional ricci limit spaces

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