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math.DG2003★ 3 cited
Hearing the platycosms
J. P. Rossetti, J. H. Conway
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.
math.DG2003
Flat Manifolds Isospectral on p-Forms
R. J. Miatello, J. P. Rossetti
We study isospectrality on p-forms of compact flat manifolds by using the equivariant spectrum of the Hodge-Laplacian on the torus. We give an explicit formula for the multiplicity…