Extending Bianchi’s Classification of Homogeneous Three-Manifolds

A few of the Bianchi types of homogeneous cosmologies described by threedimensional groups of motions 3 G with transitive actions on three-manifolds were extended to those involving transitive groups of motions r G with additional dimensions of four-manifolds. In order to extend a three-manifold...

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Bibliographic Details
Main Author: Abdullah, Aslam
Format: Thesis
Language:English
English
Published: 2006
Online Access:http://psasir.upm.edu.my/id/eprint/5461/1/ITMA_2006_9.pdf
http://psasir.upm.edu.my/id/eprint/5461/
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Summary:A few of the Bianchi types of homogeneous cosmologies described by threedimensional groups of motions 3 G with transitive actions on three-manifolds were extended to those involving transitive groups of motions r G with additional dimensions of four-manifolds. In order to extend a three-manifold metric which admits the Bianchi type N (N=I, II, V, IX) to that of four-manifold, the group r G was chosen.