Abstract We study orientable hypersurfaces in a Sasakian manifold. The structure vector field ξ of manifold determines v on hypersurface that is the component Reeb tangential to hypersurface, and it also gives rise smooth function σ namely projection unit normal N . Moreover, we have second tangent given by $\mathbf{u}=-\varphi (N)$ <mml...

In this paper, we study certain curvature conditions satisfying by the conharmonic curvature tensor in a Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection. AMS Mathematics Subject Classification (2010): 53B05, 53C25

1 We describe in this paper all simply connected Spin c manifolds carrying parallel and real Killing spinors. In particular we show that every Sasakian manifold (not necessarily Einstein) carries a canonical Spin c structure with Killing spinors.

Abstract We show that any compact metric f - K -contact, respectively S -manifold is obtained from a Sasakian manifold by an iteration of constructions mapping tori, rotations, and type II deformations.

We prove that the characteristic flow of a K-contact form has at least n+1 closed leaves on a closed 2n+1-dimensional manifold. We also show that the first Betti number of a closed sasakian manifold with finitely many closed characteristics is zero.

This paper consists of two main sections. In the first part, we give some general information about almost contact manifold, α−Sasakian, β−Kenmotsu and trans-Sasakian Structures on manifolds. second these structures were expressed tangent bundle with help lifts most forms tried to be obtained.

The purpose of the paper is to introduce the notion of generalized recurrent Lorentzian transSasakian manifold and study some of the properties of generalized recurrent and Ricci recurrent Lorentzian Trans-Sasakian manifolds.

Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, th...

Levy [11] had proved that a second order symmetric parallel non singular tensor on a space of constant curvature is a constant multiple of the metric tensor. Sharma [6] has proved that second order parallel tensor in a Kaehler Space of constant holomorphic sectional curvature is a linear combination with constant coefficients of the Kaehlerian metric and the fundamental 2-form. In this paper, w...