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On $$G$$-sets and isospectrality. (Sur les $$G$$-ensembles et l’isospectralité.) (English. French summary) Zbl 1364.58017
Summary: 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.

##### MSC:
 58J53 Isospectrality 58D19 Group actions and symmetry properties
##### Keywords:
isospectrality; Laplacian; $$G$$-sets; Sunada
GAP
Full Text:
##### References:
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