Pointwise screen bi-slant lightlike submanifolds of indefinite Kähler manifolds

A. Shrivastava, V. A. Khand, S. Kumar

We introduce the study of pointwise screen bi-slant lightlike submanifolds of indefinite Kähler manifolds, provide a non-trivial example and existence theorems for such submanifolds. Then we discuss conditions for the integrability of slant distributions associated with this class of submanifolds and give a necessary and sufficient condition for the induced connection on these submanifolds to be a metric connection. Further, we obtain some conditions for pointwise screen bi-slant lightlike submanifolds to be screen bi-slant lightlike submanifold. Finally, we investigate the geometry of totally umbilical pointwise screen bi-slant lightlike submanifolds and obtain necessary and sufficient conditions for foliations determined by distributions on pointwise screen bi-slant lightlike submanifolds to be totally geodesic. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 145-161