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 metric which admits the Bianchi type N (N=I, II, V, IX) to that of four-manifold, the group G(r) was chosen.

Autorentext

Dr. Aslam Abdullah has obtained his Master's degree in Quanta and Spacetime in 2006. Since then he has worked in the field of Theoretical Cosmology, and Computational Fluid Dynamics. His PhD was at Cranfield University (UK), on the quantitative guidelines and criteria for using turbulence models in complex flows.