Ricci curvature and almost spherical multi-suspension

Shouhei Honda

doi:10.2748/tmj/1264084497

Ricci curvature and almost spherical multi-suspension

Shouhei Honda

SCI - Mathematics

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

9 Citations (Scopus)

Abstract

In this paper, we give a generalization of Cheeger-Colding's suspension theorem for manifolds with almost maximal diameters. We also discuss a relationship between the eigenvalues of the Laplacian and the structure of tangent cones of non-collapsing limit spaces.

Original language	English
Pages (from-to)	499-522
Number of pages	24
Journal	Tohoku Mathematical Journal
Volume	61
Issue number	4
DOIs	https://doi.org/10.2748/tmj/1264084497
Publication status	Published - 2009 Dec

Keywords

Gromov-hausdorff distance
Ricci curvature
Sphere theorems

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KW - Sphere theorems

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Ricci curvature and almost spherical multi-suspension

Abstract

Keywords

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