Quasi Bi-Slant Submanifolds of Bronze Riemannian Manifolds

In this paper, we aim to study quasi-bi-slant (qbs) submanifolds of bronze Riemannian manifolds. We present necessary and sufficient conditions for the distributions included in the definition of such lightlike submanifolds to be integrable. Moreover, we obtain totally geodesic conditions for the distribution involved in the qbs submanifold of a bronze Riemannian manifold. Afterward, we construct an example of this type of submanifold. Finally, we discuss the need for further research.