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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| Format: | Book |
| Language: | English |
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LAP LAMBERT Academic Publishing
2016
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| Online Access: | 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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| Summary: | 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. |
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