SCR-warped product lightlike submanifolds of golden semi-Riemannian manifolds


S. Kumar, A. Yadav




In this paper, we introduce SCR-warped product lightlike submanifold of golden semi-Riemannian manifold. We obtain characterization theorem of SCR-warped product lightlike submanifold of the type $M_T \times_{\lambda} M_\bot$ of golden semi-Riemannian manifold. Further, we show that for a proper SCR-warped product lightlike submanifold of golden semi-Riemannian manifold, induced connection $\nabla$ is not a metric connection. Finally, we find necessary and sufficient conditions for SCR lightlike submanifold of golden semi-Riemannian manifold to be a SCR-warped product lightlike submanifold in terms of the canonical structures $P$ and $F$. Moreover, we give two non-trivial examples of SCR-warped product lightlike submanifold of golden semi-Riemannian manifold.