A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

A Geometric Inequality for Warped Product Semi-slant Submanifolds of Nearly Cosymplectic Manifolds

Recently, we have shown that there do not exist warped product semi-slant submanifolds of cosymplectic manifolds [K.A. Khan, V.A. Khan and Siraj Uddin, Balkan J. Geom. Appl. 13 (2008), 55–65]. The nearly cosymplectic structure generalizes the cosymplectic one. Therefore the nearly Kaehler structure generalizes the Kaehler structure in almost Hermitian setting. It is interesting that the warped ...

Application of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold

In this paper we consider contact CR-warped product submanifolds of the type $M = N_Ttimes_f N_perp$, of a nearly Kenmotsu generalized Sasakian space form $bar M(f_1‎, ‎f_2‎, ‎f_3)$ and by use of Hopf's Lemma we show that $M$ is simply contact CR-product under certain condition‎. ‎Finally‎, ‎we establish a sharp inequality for squared norm of the second fundamental form and equality case is dis...

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Warped Product Cr-submanifolds of Lp-cosymplectic Manifolds

In this paper, we study warped product CR-submanifolds of LP-cosymplectic manifolds. We have shown that the warped product of the type M = NT × fN⊥ does not exist, where NT and N⊥ are invariant and anti-invariant submanifolds of an LP-cosymplectic manifold M̄ , respectively. Also, we have obtained a characterization result for a CR-submanifold to be locally a CRwarped product.

application of hopf's lemma on contact cr-warped product submanifolds of a nearly kenmotsu manifold

in this paper we consider contact cr-warped product submanifolds of the type $m = n_ttimes_f n_perp$, of a nearly kenmotsu generalized sasakian space form $bar m(f_1‎, ‎f_2‎, ‎f_3)$ and by use of hopf's lemma we show that $m$ is simply contact cr-product under certain condition‎. ‎finally‎, ‎we establish a sharp inequality for squared norm of the second fundamental form and equality case i...