- Konuralp Journal of Mathematics
- Vol: 9 Issue: 2
- A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms
A Classification of Submanifolds of $(\kappa,\mu)$-Paracontact Metric Space Forms
Authors : Mehmet Atçeken, Pakize Uygun
Pages : 310-315
View : 21 | Download : 9
Publication Date : 2021-10-15
Article Type : Research
Abstract :The aim of this paper is to study the invariant submanifolds of a $(\kappa, \mu)$-paracontact metric space form. We characterize $(\kappa,\mu)$-paracontact metric space form satisfying the curvature conditions $\nabla\sigma$=0, $R\cdot{\sigma}=0$, $R\cdot{\nabla\sigma}=0$ and $\widetilde{C}\cdot\sigma=0$. Finally, we see that these conditions are equivalent to $\sigma=0$.Keywords : (k, m)-paracontact metric space form, , semi-parallel submanifold, , 2-semi-parallel submanifold, , concircular semi-parallel submanifold