Topology of Platonic Spherical Manifolds: From Homotopy to Harmonic Analysis

We carry out the harmonic analysis on four Platonic spherical three-manifolds with different topologies. Starting out from the homotopies (Everitt 2004), we convert them into deck operations, acting on the simply connected three-sphere as the cover, and obtain the corresponding variety of deck group...

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Bibliographic Details
Main Author: Peter Kramer
Format: Article
Language:English
Published: MDPI AG 2015-03-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/7/2/305