A NOTE ON INTEGRABILITY CONDITIONS AND TOTALLY GEODESIC FOLIATIONS OF DISTRIBUTIONS ON A SEMI-SLANT LIGHTLIKE SUBMANIFOLD

In the present paper, we consider a golden semi-Riemannian manifold and find its semi-slant lightlike submanifolds. We examine the integrability of the distributions $D_{1},D_{2}$ and $Rad \texttt{TJ}$ defined on semi-slant lightlike submanifolds. Further, we investigate the conditions of the foliations of the distributions when they become totally geodesic. The goal of this study is to determine the semi-slant lightlike submanifolds of a golden semi-Riemannian manifold. The distributions $D_{1},D_{2}$, and $Rad \texttt{TJ}$ defined on semi-slant lightlike submanifolds are examined for integrability. Additionally, we look at the circumstances surrounding the distributions' foliations when they reach complete geodesic.