Another class of warped product skew CR-submanifolds of Kenmotsu manifolds


Shyamal Kumar Hui, Tanumoy Pal, Joydeb Roy




Recently, Naghi et al. [32] studied warped product skew CR-submanifold of the form M1 × f M⊥ of order 1 of a Kenmotsu manifold M¯ such that M1 = MT × Mθ, where MT, M⊥ and Mθ are invariant, anti-invariant and proper slant submanifolds of M¯. The present paper deals with the study of warped product submanifolds by interchanging the two factors MT and M⊥, i.e, the warped products of the form M2 × f MT such that M2 = M⊥ ×Mθ. The existence of such warped product is ensured by an example and then we characterize such warped product submanifold. A lower bound of the squared norm of second fundamental form is derived with sharp relation, whose equality case is also considered,