On G-sets and isospectrality

Ori Parzanchevski

doi:10.5802/aif.2831

On G-sets and isospectrality

Ori Parzanchevski^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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	https://doi.org/10.5802/aif.2831
State	Published - 2013

Keywords

G-sets
Isospectrality
Laplacian
Sunada

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10.5802/aif.2831

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KW - Isospectrality

KW - Laplacian

KW - Sunada

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On G-sets and isospectrality

Abstract

Keywords

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