Date of Award:
5-2004
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Ian M. Anderson
Committee
Ian M. Anderson
Committee
Mark Fels
Committee
Charles Torre
Abstract
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.
Checksum
401791aba9efca71f103693fa1298d74
Recommended Citation
Bowers, Adam, "Lorentz Homogeneous Spaces and the Petrov Classification" (2004). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7148.
https://digitalcommons.usu.edu/etd/7148
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