On quasi bi-slant submanifolds of a K\"ahler manifold immersed as sequential warped products

Abstract

The present paper focuses on the study of a new class of sequential warped product submanifolds considered by harmonizing one invariant submanifold and two proper slant submanifolds of K\"ahler manifolds with the concept of sequential warped products. In particular, we examine the existence (or non-existence) of proper quasi bi-slant warped product submanifolds of K\"ahler manifolds, conceptualized as sequential warped products. Our claim demonstrates that a K\"ahler manifold does not admit any proper quasi bi-slant warped product submanifolds (in the sequential warped product sense). The study advances the understanding of submanifold geometry in complex manifolds, offering significant insights into the non-existence of such warped product submanifolds and their geometric implications in K\"ahler geometry.