Ringing the eigenmodes from compact manifolds

Abstract

We present a method for finding the eigenmodes of the Laplace operator acting on any compact manifold. The procedure can be used to simulate cosmic microwave background fluctuations in multi-connected cosmological models. Other applications include studies of chaotic mixing and quantum chaos.

11 pages, 8 figures, IOP format. To be published in the proceedings of the Cleveland Cosmology and Topology Workshop 17-19 Oct 1997. Submitted to Class. Quant. Grav

References in corpus (3)

• Circles in the Sky: Finding Topology with the Microwave Background Radiation
• Reconstructing the global topology of the universe from the cosmic microwave background
• The topology of the universe: the biggest manifold of them all

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