Fe b 20 05 Exact Polynomial Eigenmodes for Homogeneous Spherical 3-Manifolds

@inproceedings{Weeks2008FeB2,
  title={Fe b 20 05 Exact Polynomial Eigenmodes for Homogeneous Spherical 3-Manifolds},
  author={Jeff Weeks},
  year={2008}
}
Observational data hints at a finite universe, with spherical manifolds such as the Poincaré dodecahedral space tentatively providing the best fit. Simulating the physics of a model universe requires knowing the eigenmodes of the Laplace operator on the space. Researchers presently compute the eigenmodes numerically, which is the bottleneck limiting the scope of the simulations. The present article provides explicit polynomial eigenmodes for all globally homogeneous 3-manifolds: the Poincar… CONTINUE READING

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