Some curvature properties on Lorentzian generalized Sasakian-space-forms (Q781135)

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scientific article; zbMATH DE number 7221710
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Some curvature properties on Lorentzian generalized Sasakian-space-forms
scientific article; zbMATH DE number 7221710

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    Some curvature properties on Lorentzian generalized Sasakian-space-forms (English)
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    16 July 2020
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    Summary: In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci semisymmetric and their relationship between each other. As the application of our theorems, we study the Ricci almost soliton on conformally flat Lorentzian generalized Sasakian-space-form.
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    projectively flat
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    conformally flat
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    conharmonically flat
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    Ricci semisymmetric
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    Ricci almost soliton
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