no. 6
On G-sets and isospectrality
[Sur les G-ensembles et l’isospectralité]
Parzanchevski, Ori1
1 Hebrew University of Jerusalem
Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2307-2329.

Nous étudions les G-ensembles finis et leur produit tensoriel avec des variétés Riemanniennes et obtenons certains résultats sur les quotients et revêtements isospectraux. Nous démontrons en particulier le théorème suivant  : Soit M une variété (ou orbifold) Riemannienne compacte et connexe dont le groupe fondamental possède un quotient fini non cyclique. Alors M admet des revêtements isospectraux non isométriques.

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.

DOI : 10.5802/aif.2831
Classification : 58J53, 58D19
Keywords: isospectrality, laplacian, G-sets, Sunada
Mot clés : isospectralité, laplacien, G-ensembles, Sunada

Parzanchevski, Ori 1

1 Hebrew University of Jerusalem 
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Parzanchevski, Ori. On $G$-sets and isospectrality. Annales de l'Institut Fourier, Tome 63 (2013) no. 6, pp. 2307-2329. doi : 10.5802/aif.2831. https://aif.centre-mersenne.org/articles/10.5802/aif.2831/

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