Date of Award:
5-2004
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Committee Chair(s)
Mark Fels
Committee
Mark Fels
Abstract
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.
Checksum
d57f93795b031a3b638e9dd99b55db4a
Recommended Citation
Renner, Andrew, "Four-Dimensional Non-Reductive Homogeneous Manifolds with Neutral Metrics" (2004). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7149.
https://digitalcommons.usu.edu/etd/7149
Included in
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 .