Topology of Platonic Spherical Manifolds: From Homotopy to Harmonic Analysis
نویسندگان
چکیده
منابع مشابه
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 groups. For each topology, the three-sphere is tiled into copies of a fundamental domain under the cor...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2015
ISSN: 2073-8994
DOI: 10.3390/sym7020305