On kenmotsu manifold

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Characterization of a Slant Submanifold of a Kenmotsu Manifold

Recently, we have studied and obtained some results on slant submanifolds of Kenmotsu manifolds [9, 10]. In this paper we study the slant submanifold of a Kenmotsu manifold when structure tensor field φ is Killing and obtain some interesting results. AMS Mathematics Subject Classification (2000): 53C25, 53C40

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...

The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold

We study the forms of curvatures of lightlike hypersurfaces M of an indefinite Kenmotsu manifold M̄ subject to the conditions: (1) M is locally symmetric, i.e., the curvature tensor R of M be parallel on TM , or (2) M is a semi-symmetric manifold, i.e., R(X, Y )R = 0 on TM . M.S.C. 2010: 53C25, 53C40, 53C50.

Harmonic Maps on Kenmotsu Manifolds

We study in this paper harmonic maps and harmonic morphisms on Kenmotsu manifolds. We also give some results on the spectral theory of a harmonic map for which the target manifold is a Kenmotsu manifold.