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A Study on Curvature in Lorentzian Generalized Sasakian-Space-Forms and Its Applications
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In this paper, we investigate the curvature properties of Lorentzian generalized Sasakian-space-forms. We establish the necessary and sufficient conditions for these manifolds to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric, exploring their interrelationships. Additionally, as an application of these theorems, we study the behavior of Ricci almost solitons on conformally flat Lorentzian generalized Sasakian-space-forms.
Title: A Study on Curvature in Lorentzian Generalized Sasakian-Space-Forms and Its Applications
Description:
In this paper, we investigate the curvature properties of Lorentzian generalized Sasakian-space-forms.
We establish the necessary and sufficient conditions for these manifolds to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric, exploring their interrelationships.
Additionally, as an application of these theorems, we study the behavior of Ricci almost solitons on conformally flat Lorentzian generalized Sasakian-space-forms.
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