Document Zbl 1112.43009

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Harmonic polynomials on the Poincaré dodecahedral three-manifold. (English) Zbl 1112.43009

J. Geom. Symmetry Phys. 6, 55-66 (2006).

With Lie-algebraic methods a set of orthogonal harmonic polynomials on the Poincaré dodecahedral three-manifold is obtained. The expansion in these polynomials of temperature fluctuations on the cosmic microwave background tests this manifold as a candidate for cosmic topology.

Reviewer: Johannes Viktor Feitzinger (Bochum)

Cited in 1 Document

MSC:

43A99	Abstract harmonic analysis
83C30	Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory
83F05	Relativistic cosmology

Keywords:

dodecahedral three-manifolds; cosmic topology; cosmic microwave background

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