Tohoku Mathematical Journal

Ricci curvature and almost spherical multi-suspension

Shouhei Honda
Source: Tohoku Math. J. (2) Volume 61, Number 4 (2009), 499-522.

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.

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Primary Subjects: 53C24
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.tmj/1264084497
Digital Object Identifier: doi:10.2748/tmj/1264084497
Zentralblatt MATH identifier: 05687941
Mathematical Reviews number (MathSciNet): MR2598247

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Tohoku Mathematical Journal