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 language | English |
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Pages (from-to) | 509-516 |
Number of pages | 8 |
Journal | manuscripta mathematica |
Volume | 99 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1999 Aug |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)