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

Author

Listed:
  • 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)

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.

Suggested Citation

  • D. G. Prakasha & M. R. Amruthalakshmi & Fatemah Mofarreh & Abdul Haseeb, 2022. "Generalized Lorentzian Sasakian-Space-Forms with M -Projective Curvature Tensor," Mathematics, MDPI, vol. 10(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2869-:d:885743
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    References listed on IDEAS

    as
    1. A. Bejancu & K. L. Duggal, 1993. "Real hypersurfaces of indefinite Kaehler manifolds," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-12, January.
    2. K. L. Duggal, 1990. "Space time manifolds and contact structures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 13, pages 1-9, January.
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