paper

On the eigenmodes of compact hyperbolic 3-manifolds

arXiv:math/9906017

Abstract

We present a simple algorithm for finding eigenmodes of the Laplacian for arbitrary compact hyperbolic 3-manifolds. We apply our algorithm to a sample of twelve manifolds and generate a list of the lowest eigenvalues. We also display a selection of eigenmodes taken from the Weeks space.

8 pages, 10 figures. Submitted to Experimental Mathematics