On G-sets and Isospectrality
classification
🧮 math.GR
keywords
coversfiniteg-setsisospectralriemanniancompactconnectedfollowing
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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.
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