paper

Isospectral flat 3-manifolds

arXiv:math/0401365 · doi:10.1023/B:SIMJ.0000042478.24379.8b

Abstract

There is a well-known problem about isospectrality of Riemannian manifolds: whether isospectral manifolds are isometric. In this work we give an answer to this problem for 3-dimensional compact flat manifolds.

26 pages, 11 figures