Date of Award:
Master of Science (MS)
Mathematics and Statistics
A method due to É. Cartan was used to algebraically classify the possible four-dimensional manifolds that allow a (2, 2)-signature metric with a transitive group action which acts by isometries. These manifolds are classified according to the Lie algebra of the group action. There are six possibilities: four non-parameterized Lie algebras, one discretely parameterized family, and one family parameterized by R.
Renner, Andrew, "Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics" (2004). All Graduate Theses and Dissertations. 7149.
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