On the eigenmodes of compact hyperbolic 3-manifolds

Details On the eigenmodes of compact hyperbolic 3-manifolds On the eigenmodes of compact hyperbolic 3-manifolds

1999-06-02

arxiv.org/abs/math/9906017v1

Mathematics

Differential Geometry

8 pages, 10 figures. Submitted to Experimental Mathematics

Scientific paper

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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