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March 2013 On low-dimensional Ricci limit spaces
Shouhei Honda
Nagoya Math. J. 209: 1-22 (March 2013). DOI: 10.1215/00277630-1959442

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 Hausdorff dimension is not greater than 2. We also classify 1-dimensional Ricci limit spaces.

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Shouhei Honda. "On low-dimensional Ricci limit spaces." Nagoya Math. J. 209 1 - 22, March 2013. https://doi.org/10.1215/00277630-1959442

Information

Published: March 2013
First available in Project Euclid: 27 February 2013

zbMATH: 1266.53044
MathSciNet: MR3032136
Digital Object Identifier: 10.1215/00277630-1959442

Subjects:
Primary: 53C20
Secondary: 53C21

Rights: Copyright © 2013 Editorial Board, Nagoya Mathematical Journal

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Vol.209 • March 2013
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