Title of article :
Some Results On 3-Dimensional Lorentzian Manifold
Author/Authors :
Azimpour, S University of Farhangian , Haji-Badali, A University of Bonab
Abstract :
In this paper, first Szabo operator related to the Ricci operator
of Lorentzian 3-manifold in the algebraic setting is determined.
Then, a necessary and sufficient condition for a Lorentzian 3-manifolds
admitting a parallel line field with vanishing Szabo operator is obtained.
Keywords :
Walker manifold , Szabo operator , Lorentzian manifold , Killing vector
Journal title :
Journal of Mathematical Extension(IJME)