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On the eigenmodes of compact hyperbolic 3-manifolds

Neil J. Cornish·David N. Spergel
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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.

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Neil J. Cornish, David N. Spergel. 1999-06-02. On the eigenmodes of compact hyperbolic 3-manifolds. https://arxiv.org/abs/math/9906017

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