Semi-slant and bi-slant submanifolds of almost contact metric 3-structure manifolds

Abstract

In this paper we introduce the notions of semi-slant and bi-slant submanifolds of an almost contact 3-structure manifold. We give some examples and characterization theorems about these submanifolds. Moreover, the distributions of semi-slant submanifolds of 3-cosymplectic and 3-Sasakian manifolds are studied.

Bi-slant submanifolds of an S manifold

“…A submanifold M of an almost Hermitian manifold is called a bi-slant submanifold if there exist two orthogonal slant distributions, D 1 and D 2 , on tangent bundle TM of M with slant angles θ 1 and θ 2 , respectively, such that one writes In the literature, there exist very interesting works on bi-slant submanifolds of various spaces [9][10][11][12][13][14]. An important aspect of slant submanifolds is that they can be considered as a generalization of semi-slant, hemi-slant and CR submanifolds.…”

“…In the literature, there exist very interesting works on bi-slant submanifolds of various spaces [9][10][11][12][13][14]. An important aspect of slant submanifolds is that they can be considered as a generalization of semi-slant, hemi-slant and CR submanifolds.…”