Eigenvalues and suspension structure of compact Riemannian orbifolds with positive Ricci curvature

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8 Citations (Scopus)

Abstract

Let M be a compact n-dimensional Riemannian orbifold of Ricci curvature ≥ n - 1. We prove that for 1 ≤ k ≤ n, the kth nonzero eigenvalue of the Laplacian on M is equal to the dimension n if and only if M is isometric to the k-times spherical suspension over the quotient Sn-k / Γ of the unit (n - k)-sphere by a finite group Γ ⊂ O(n - k + 1) acting isometrically on Sn - k ⊂ ℝn - k+1.

Original languageEnglish
Pages (from-to)509-516
Number of pages8
Journalmanuscripta mathematica
Volume99
Issue number4
DOIs
Publication statusPublished - 1999 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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