Bishop-gromov type inequality on Ricci limit spaces

Shouhei Honda

doi:10.2969/jmsj/06320419

Bishop-gromov type inequality on Ricci limit spaces

Shouhei Honda

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

11 Citations (Scopus)

Abstract

In this paper, we study limit spaces of a sequence of ndimensional complete Riemannian manifolds whose Ricci curvatures have definite lower bound. We will give several measure theoretical properties of such limit spaces.

Original language	English
Pages (from-to)	419-442
Number of pages	24
Journal	Journal of the Mathematical Society of Japan
Volume	63
Issue number	2
DOIs	https://doi.org/10.2969/jmsj/06320419
Publication status	Published - 2011
Externally published	Yes

Keywords

Geometric measure theory
Gromov-hausdorff convergence
Ricci curvature

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06320419

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title = "Bishop-gromov type inequality on Ricci limit spaces",

abstract = "In this paper, we study limit spaces of a sequence of ndimensional complete Riemannian manifolds whose Ricci curvatures have definite lower bound. We will give several measure theoretical properties of such limit spaces.",

keywords = "Geometric measure theory, Gromov-hausdorff convergence, Ricci curvature",

author = "Shouhei Honda",

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journal = "Journal of the Mathematical Society of Japan",

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Bishop-gromov type inequality on Ricci limit spaces

Abstract

Keywords

ASJC Scopus subject areas

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