Wintgen Inequalities for Submanifolds of $\\delta$-Lorentzian Trans-Sasakian Space Form

Authors : Oğuzhan BAHADIR

Pages : 52-60

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Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :The outline of this research article is that, $\\delta$-Lorentzian trans Sasakian manifolds with a semi-symmetric-metric connection insert ignore into journalissuearticles values(briefly say $SSM$); have been investigated. Indeed, we obtain the expressions for Riemannian curvature tensor $\\bar{R}$, Ricci curvature tensors $\\bar{Ric}$ and scalar curvature $\\bar{r}$ of the $\\delta$-Lorentzian trans-Sasakian manifolds with a $SSM$ connection. Mainly, we discuss the generalized Wintgen inequalities for submanifolds in $\\delta$-Lorentzian trans-Sasakian space form with a $SSM$ connection. Furthermore, we examine the generalized Wintgen inequality for submanifolds of $\\delta$-Lorentzian trans-Sasakian space form.
Keywords : \\delta Lorentzian trans Sasakian manifold, semi symmetric metric connection, Wintgen inequalities