Isospectral towers of Riemannian Manifolds

Benjamin Linowitz

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arXiv · 1201.5147

Isospectral towers of Riemannian Manifolds

Benjamin Linowitz

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Abstract

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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Benjamin Linowitz. 2012-01-24. Isospectral towers of Riemannian Manifolds. https://arxiv.org/abs/1201.5147

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