- Konuralp Journal of Mathematics
- Vol: 11 Issue: 1
- Wintgen Inequalities for Submanifolds of $\\delta$-Lorentzian Trans-Sasakian Space Form
Wintgen Inequalities for Submanifolds of $\\delta$-Lorentzian Trans-Sasakian Space Form
Authors : Oğuzhan Bahadir
Pages : 52-60
View : 11 | Download : 5
Publication Date : 2023-04-30
Article Type : Research
Abstract :The outline of this research article is that, $\\delta$-Lorentzian trans Sasakian manifolds with a semi-symmetric-metric connection (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