Classification of Five-Dimensional Lie Algebras with One-dimensional Subalgebras Acting as Subalgebras of the Lorentz Algebra

Motivated by A. Z. Petrov's classification of four-dimensional Lorentzian metrics, we provide an algebraic classification of the isometry-isotropy pairs of four-dimensional pseudo-Riemannian metrics admitting local slices with five-dimensional isometries contained in the Lorentz algebra. A pure...

Full description

Bibliographic Details
Main Author: Rozum, Jordan
Format: Others
Published: DigitalCommons@USU 2015
Subjects:
Online Access:https://digitalcommons.usu.edu/etd/4633
https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=5669&context=etd