In this paper, we prove that the Ricci tensor of an almost Kenmotsu 3-h-manifold is cyclic-parallel if and only if it is parallel and hence, the manifold is locally isometric to either the hyperbolic space H3(−1) or the Riemannian product H2(−4)× R. c ©2016 All rights reserved.

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

In this paper, we first investigate the Kenmotsu statistical structures built on a space form and determine some special under two curvature conditions. Secondly, show that if holomorphic sectional of hypersurface orthogonal to structure vector in manifold is constant, then $\phi-$sectional ambient must be constant $-1$, $0$. addition, non-trivial examples are given illustrate results paper.

The present paper deals with the study of φ-Ricci symmetric Kenmotsu manifolds. An example of a three-dimensional φ-Ricci symmetric Kenmotsu manifold is constructed for illustration. AMS Mathematics Subject Classification (2000): 53C25

The geometry of nearly trans-Sasakian manifolds is researched in this paper. complete group structural equations and the components Lee vector on space associated $G$-structure are obtained for such manifolds. Conditions found under which a structure trans-Sasakian, cosymplectic, closely Sasakian or Kenmotsu structure. conditions when special generalized second kind. A classification obtained, ...

We study screen homothetic half lightlike submanifolds of indefinite Kenmotsu manifolds. Two natural conditions to impose on this study are that its homothetic factor be either non-zero constant or zero, the latter is equivalent to the screen distribution to be totally geodesic. The purpose of this paper is to prove that there do not exist above two types screen homothetic half lightlike subman...