On G -sets and isospectrality

Ori Parzanchevski[1]

  • [1] Hebrew University of Jerusalem

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 6, page 2307-2329
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Parzanchevski, Ori. "On $G$-sets and isospectrality." Annales de l’institut Fourier 63.6 (2013): 2307-2329. <http://eudml.org/doc/275662>.

@article{Parzanchevski2013,
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.},
affiliation = {Hebrew University of Jerusalem},
author = {Parzanchevski, Ori},
journal = {Annales de l’institut Fourier},
keywords = {isospectrality; laplacian; G-sets; Sunada; Laplacian; -sets},
language = {eng},
number = {6},
pages = {2307-2329},
publisher = {Association des Annales de l’institut Fourier},
title = {On $G$-sets and isospectrality},
url = {http://eudml.org/doc/275662},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Parzanchevski, Ori
TI - On $G$-sets and isospectrality
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 6
SP - 2307
EP - 2329
AB - 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.
LA - eng
KW - isospectrality; laplacian; G-sets; Sunada; Laplacian; -sets
UR - http://eudml.org/doc/275662
ER -

References

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