On Pseudo-Slant Submanifolds of Nearly Quasi-Sasakian Manifolds

Abstract

The geometry of pseudo-slant submanifolds of nearly quasi Sasakian manifold is studied. It is proved that totally umbilical proper-slant submanifold of nearly quasi Sasakian manifold admits totally geodesic if the mean curvature vector ∈ µ. The integrability conditions of the distributions of pseudo-slant submanifolds of nearly quasi Sasakian manifold are also obtained.

Quasi hemi Slant Submanifolds of Lorentzian Concircular Structures

“…[1], introduced and studied the concept of Lorentzian almost paracontact manifolds. Then after, many other authors studied the Lorentzian almost paracontact manifolds, [2], [3], [4], [5], [6], [7], [8], [9], [10]. The application of (𝐿𝐶𝑆) 𝑛manifolds was investigated by [11], in the field of general theory of relativity and cosmology.…”

Geometry of Warped Product CR and Semi-Slant Submanifolds in Quasi-Para-Sasakian Manifolds

“…Tanno [19] also contributed some remarkable results on quasi-Sasakian structure. Recently, quasi-Sasakian structure have been studied in [1,17,18]). The geometry of almost paracontact manifold was studied by Kaneyuki and Williams in [16] as a natural generalization of natural odd-dimensional analogue to almost para-Hermitian structures.…”