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arXiv · 1906.07787

Lens spaces isospectral on forms but not on functions

Ruth Gornet·Jeffrey McGowan
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Abstract

This paper means to correct an error by the authors for the composite $q$ 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 $q$ 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 $q$ when in fact it is only valid if $q$ is prime. This means formulas (3) and (4) in \cite{GM} must be reworked to account for complications when $q$ is composite.

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Ruth Gornet, Jeffrey McGowan. 2019-06-18. Lens spaces isospectral on forms but not on functions. https://arxiv.org/abs/1906.07787

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