Lens spaces isospectral on forms but not on functions
Differential Geometry
2020-10-27 v3
Abstract
This paper means to correct an error by the authors for the composite case in the paper "Lens Spaces, Isospectral on Forms but not on Functions", published in LMS J. Comput. Math.} 9 (2006), 270-286. All calculations and examples presented in \cite{GM} for prime remain valid, and we include detailed calculations below justifying this. Our original mistake was to conclude that Formula (3.11) \cite[p. 399]{Ikeda} remained true for all when in fact it is only valid if is prime. This means formulas (3) and (4) in \cite{GM} must be reworked to account for complications when is composite.
Cite
@article{arxiv.1906.07787,
title = {Lens spaces isospectral on forms but not on functions},
author = {Ruth Gornet and Jeffrey McGowan},
journal= {arXiv preprint arXiv:1906.07787},
year = {2020}
}