On G-sets and isospectrality

Ori Parzanchevski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageAmerican English
Pages (from-to)2307-2329
Number of pages23
JournalAnnales de l'Institut Fourier
Volume63
Issue number6
DOIs
StatePublished - 2013

Keywords

  • G-sets
  • Isospectrality
  • Laplacian
  • Sunada

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