Extending Bianchi's classification of homogeneous three-manifolds

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

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書誌詳細
第一著者: Abdullah, Aslam
フォーマット: 図書
言語:English
出版事項: LAP LAMBERT Academic Publishing 2016
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オンライン・アクセス:http://eprints.uthm.edu.my/4145/1/2016_Extending%20Bianchi%27s%20Classification%20of%20Homogeneous%20Three-Manifolds.pdf
http://eprints.uthm.edu.my/4145/
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要約:A few of the Bianchi types of homogeneous cosmologies described by three-dimensional groups of motions G(3) with transitive actions on three- manifolds were extended to those involving transitive groups of motions G(r) 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 G(r) was chosen.