A Classification of Submanifolds of $(kappa,mu)$-Paracontact Metric Space Forms

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Konuralp Journal of Mathematics
Volume: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 : 51 | Download : 13

Publication Date : 2021-10-15

Article Type : Research Paper

Abstract :The aim of this paper is to study the invariant submanifolds of a $insert ignore into journalissuearticles values(\kappa, \mu);$-paracontact metric space form. We characterize $insert ignore into journalissuearticles values(\kappa,\mu);$-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

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