IUMJ

Title: Isospectral locally symmetric manifolds

Authors: David Mcreynolds

Issue: Volume 63 (2014), Issue 2, 533-549

Abstract:

In this article, we construct closed, isospectral, non-isometric locally symmetric manifolds. We have three main results. First, we construct arbitrarily large sets of closed, isospectral, non-isometric manifolds. Second, we show how the growth in size of these sets of isospectral manifolds as a function of volume is super-polynomial. Finally, we construct pairs of infinite towers of finite covers of a closed manifold that are isospectral and non-isometric at each stage.