Chen’s type inequality forwarped product pseudo-slant submanifolds of Kenmotsu f-manifolds

Abstract

In the present paper, we consider non-trivial warped product pseudo slant submanifolds of type M ⊥ × f M θ and M θ × f M ⊥ of Kenmotsu f-manifold M. Firstly, we get some basic properties of these type warped product submanifolds. Then, we prove the general sharp inequalities for mixed totally geodesic warped product pseudo slant submanifolds and also we consider equality cases. Also generalizes some previous inequalities as well.

Об Обобщенных Многообразиях Кенмоцу Как Гиперповерхностях Многообразий Вайсмана - Грея

“…Definition 7 [21]. A submanifold (M 2n−1 , g) of Riemannian manifold (N 2n , h) is said to be totally geodesic if the second fundamental form σ vanish (i. e., σ = 0).…”