A study onW9-curvature tensor within the frameworkof Lorentzian para-Sasakian manifold

• G.P. Singh ^[1] ; S.S. Mishra ^[1] ; P. Sharma ^[1]
  1. [1] Department of Mathematics and Statistics Deen Dayal Upadhyaya Gorakhpur University Gorakhpur 273009 (U.P.), India
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 40, Nº 1, 2025, págs. 43-56
• Idioma: inglés
• DOI: 10.17398/2605-5686.40.1.43
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• Resumen

  • This article focuses on the study of Lorentzian para-Sasakian manifolds Mn . It demonstrates that a W9-semisymmetric Lorentzian para-Sasakian manifold is a W9-flat manifold. Additionally, we explore Lorentzian para-Sasakian manifolds that satisfy the ζ-W9-flat condition, revealing that they represent a special type of η-Einstein manifold. Furthermore, it is shown that a W9-flat Lorentzian para-Sasakian manifold is a flat manifold. We also investigate Lorentzian para-Sasakian manifolds that meet W9-recurrent and ϕ-W9-semisymmetric conditions, presenting several significant results from this analysis. At last, we explore η-Ricci Solitons on Lorentzian para-Sasakian manifold satisfying W9(ζ, F1 ) · S = 0.

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