Abstract
We study finite G-sets and their tensor product with Riemannian manifolds, and obtain results on isospectral quotients and covers. In particular, we show the following: If M is a compact connected Riemannian manifold (or orbifold) whose fundamental group has a finite non-cyclic quotient, then M has isospectral non-isometric covers.
| Original language | English |
|---|---|
| Pages (from-to) | 2307-2329 |
| Number of pages | 23 |
| Journal | Annales de l'Institut Fourier |
| Volume | 63 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2013 |
Keywords
- G-sets
- Isospectrality
- Laplacian
- Sunada
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology
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