Some Results on 3-Dimensional Lorentzian Manifold

Authors

  • Sohrab Azimpour Department of Mathematics, University of Farhangian, Tehran, Iran
  • Ali Haji Badali Department of Mathematics, Basic sciences faculty, University of Bonab.

Keywords:

Killing vector, Lorentzian manifold, Sezabo operator, Walker manifold.

Abstract

In this paper, a necessary and sufficient condition for a function f(t; x; y)
of Walker 3-metric to have a vector field X, to be a Killing vector field, is constructed. Also, we determine Sezabo operator related to Ricci operator of Lorentzian 3-manifold. Finally, we construct a necessary and sufficient condition for a function f(t; x; y) of the Walker metric of 3-dimensional manifold, to have zero Sezabo operator.

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Published

2022-06-26

Issue

Vol. 16

Section

Vol. 16, No. 11, (2022)

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