On G-sets and Isospectrality
Group Theory
2014-09-05 v2
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.
Cite
@article{arxiv.1104.0315,
title = {On G-sets and Isospectrality},
author = {Ori Parzanchevski},
journal= {arXiv preprint arXiv:1104.0315},
year = {2014}
}