Generalized Lorentzian Sasakian-Space-Forms with M -Projective Curvature Tensor

D. G. Prakasha, M. R. Amruthalakshmi, Fatemah Mofarreh and Abdul Haseeb ()
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D. G. Prakasha: Department of Mathematics, Davangere University, Shivagangothri, Davangere 577007, India
M. R. Amruthalakshmi: Department of Mathematics, Davangere University, Shivagangothri, Davangere 577007, India
Fatemah Mofarreh: Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia
Abdul Haseeb: Department of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi Arabia

Mathematics, 2022, vol. 10, issue 16, 1-14

Abstract: In this note, the generalized Lorentzian Sasakian-space-form M 1 2 n + 1 ( f 1 , f 2 , f 3 ) satisfying certain constraints on the M -projective curvature tensor W * is considered. Here, we characterize the structure M 1 2 n + 1 ( f 1 , f 2 , f 3 ) when it is, respectively, M -projectively flat, M -projectively semisymmetric, M -projectively pseudosymmetric, and φ − M -projectively semisymmetric. Moreover, M 1 2 n + 1 ( f 1 , f 2 , f 3 ) satisfies the conditions W * ( ζ , V 1 ) · S = 0 , W * ( ζ , V 1 ) · R = 0 and W * ( ζ , V 1 ) · W * = 0 are also examined. Finally, illustrative examples are given for obtained results.

Keywords: contact Lorentzian manifold; generalized Lorentzian Sasakian-space-form; ?-projective curvature tensor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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