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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| Main Author: | |
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| Format: | Thesis |
| Language: | English English |
| Published: |
2006
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| 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. |
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