Some results on Lorentzian para-Kenmotsu manifolds

Authors

  • A. Haseeb Jazan University, Jazan-2097, Kingdom of Saudi Arabia
  • R. Prasad Lucknow University, Lucknow-226007, India

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.1.14

Keywords:

Lorentzian para-Kenmotsu manifold, ɳ-Einstein manifold, Ricci-pseudosymmetric manifold, Ricci-generalized pseudosymmetric manifold, Ricci solitons

Abstract

In the present paper, we define Lorentzian para-Kenmotsu manifolds and study Ricci-pseudosymmetric, Ricci-generalized pseudosymmetric and symmetric conditions to characterize Lorentzian para-Kenmotsu manifolds. Next, we study Lorentzian para-Kenmotsu manifolds satisfying the curvature condition S • R = 0. Moreover, we study Ricci solitons on Lorentzian para-Kenmotsu manifolds. Finally, we give an example of a 5-dimensional Lorentzian para-Kenmotsu manifold to verify some results of the paper.

Author Biographies

A. Haseeb, Jazan University, Jazan-2097, Kingdom of Saudi Arabia

Department of Mathematics, Faculty of Science 

R. Prasad, Lucknow University, Lucknow-226007, India

Department of Mathematics and Astronomy

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Published

2020-07-22

Issue

Vol. 13(62) No. 1 (2020)

Section

MATHEMATICS