Geometric solitons in a D-homothetically deformed Kenmotsu manifold

Eta-Ricci solitons on para-Kenmotsu manifolds

In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ,X) · S = 0, S · R(ξ,X) = 0, W2(ξ,X) · S = 0 and S · W2(ξ,X) = 0. We prove that on a para-Kenmotsu manifold (M,φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ,X) · S = 0, then (M, g) is Ei...

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

Semi-Slant Warped Product Submanifolds of a Kenmotsu Manifold

Solitons and Deformed Lattices I

We study a model describing some aspects of the dynamics of biopolymers. The models involve either one or two finite chains with a number N of sites that represent the " units " of a biophysical system. The mechanical degrees of freedom of these chains are coupled to the internal degrees of freedom through position dependent excitation transfer functions. We reconsider the case of the one chain...

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...