$\mathcal{PR}$-anti-slant warped product submanifold of a nearly paracosymplectic manifold

Abstract

In this paper, we study $\mathcal{PR}$-anti-slant warped product submanifold of a nearly paracosymplectic manifold $\tilde{M}$. The necessary and sufficient condition is obtained for the distributions allied to the characterization of a $\mathcal{PR}$-anti-slant submanifold being integrable and totally geodesic foliation. In addition, we have defined $\mathcal{PR}$-anti-slant warped product submanifold of $\tilde{M}$ and gave some illustrations. Finally, we extracted the constraints for a submanifold of $\tilde{M}$ to be a $\mathcal{PR}$-anti-slant warped product of the form $F{\times }_f{N}_{\lambda }$.

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References in corpus (3)

• A geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifolds
• Almost α-Paracosymplectic Manifolds
• Geometry of PR-warped products in para-Kaehler manifolds