Hearing the platycosms
Differential Geometry
2007-05-23 v2 Spectral Theory
Abstract
A `platycosm' is a flat Riemannian 3-manifold without boundary. In this paper we prove that there is (up to scale) a unique isospectral pair of compact platycosms.
Cite
@article{arxiv.math/0311470,
title = {Hearing the platycosms},
author = {J. P. Rossetti and J. H. Conway},
journal= {arXiv preprint arXiv:math/0311470},
year = {2007}
}
Comments
To appear in Math. Res. Lett. (2006). 20 pages, 20 figures. Minor changes to the 1st version