Ricci curvature and almost spherical multi-suspension

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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 languageEnglish
Pages (from-to)499-522
Number of pages24
JournalTohoku Mathematical Journal
Volume61
Issue number4
DOIs
Publication statusPublished - 2009 Dec

Keywords

  • Gromov-hausdorff distance
  • Ricci curvature
  • Sphere theorems

ASJC Scopus subject areas

  • Mathematics(all)

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