Isospectral towers of Riemannian Manifolds

Details Isospectral towers of Riemannian Manifolds Isospectral towers of Riemannian Manifolds

2012-01-24

arxiv.org/abs/1201.5147v1

Mathematics

Geometric Topology

Scientific paper

In this paper we construct, for n >= 2, arbitrarily large families of infinite towers of compact, orientable Riemannian n-manifolds which are isospectral but not isometric at each stage. In dimensions two and three, the towers produced consist of hyperbolic 2-manifolds and hyperbolic 3-manifolds, and in these cases we show that the isospectral towers do not arise from Sunada's method.

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