Date of Award:
Master of Science (MS)
Mathematics and Statistics
Ian M. Anderson
A. Z. Petrov gave a complete list of all local group actions on a four-dimensional space-time that admit an invariant Lorentz metric, up to an equivalence relation. His list was compiled by directly constructing all possible Lie algebras of infinitesimal generators of group actions that preserve a Lorentz metric. The goal of this paper was to verify that classification by algebraically constructing a list of all possible three-dimensional homogeneous spaces and calculating which among them have a non-degenerate invariant metric.
Bowers, Adam, "Lorentz Homogeneous Spaces and the Petrov Classification" (2004). All Graduate Theses and Dissertations. 7148.
Copyright for this work is retained by the student. If you have any questions regarding the inclusion of this work in the Digital Commons, please email us at .