Abstract

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.

Keywords: Golden structure; golden semi-Riemannian manifolds; SCR warped product lightlike submanifold; lightlike submanifolds.

MSC: 53C15, 53C40, 53C50

DOI: 10.57016/MV-OdPO5306

Pages:  1--15