In this paper, we introduce the new notion of quasi bi-slant submanifolds almost Hermitian manifolds. Necessary and sufficient conditions for integrability distributions which are involved in definition such a Kaehler manifold obtained. We also investigate necessary these manifolds to be totally geodesic study geometry foliations determined by above distributions. Finally, obtain submanifold lo...

This article is devoted to prove the basic Chen?s inequalities for slant submanifolds in Riemannian space forms equipped with Golden structure. The equality case and some particular cases of derived are discussed.

This paper deals with the study of warped product pointwise bi-slant submanifolds Kenmotsu manifolds an example. The characterization for such submanifold is also discussed. An inequality obtained and its equality case considered.

Our paper explores warped product pointwise semi-slant submanifolds with a semi-symmetric metric connection in an odd-dimensional sphere and uncovers fundamental results. We also demonstrate how our findings can be applied to the homology of these submanifolds. Notably, we prove that under specific condition, there are no stable currents for This work adds valuable insights into stability behav...