On the eigenmodes of compact hyperbolic 3-manifolds
Differential Geometry
2007-05-23 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.math/9906017,
title = {On the eigenmodes of compact hyperbolic 3-manifolds},
author = {Neil J. Cornish and David N. Spergel},
journal= {arXiv preprint arXiv:math/9906017},
year = {2007}
}
Comments
8 pages, 10 figures. Submitted to Experimental Mathematics