ON M-Projectively Flat LP-Sasakian Manifolds

On - Curvature Tensor in Lp-sasakian Manifolds

Some results on the properties of T -flat, quasiT -flat,  T -flat,  T -flat, T -semi-symmetric,  T Ricci recurrent and T - -recurrent LP-Sasakian manifolds are obtained. It is also proved that an LP-Sasakian manifold satisfying the condition T . 0 S  is an  -Einstein manifold. MSC 2000. 53C15, 53C25, 53C50, 53D15.

On Quasi Conformally Flat LP-Sasakian Manifolds with a Coefficient α

The aim of the present paper is to study properties of Quasi conformally flat LP-Sasakian manifolds with a coefficient α. In this paper, we prove that a Quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α is an η−Einstein and in a quasi conformally flat LP-Sasakian manifold M (n > 3) with a constant coefficient α if the scalar curvature tensor is constant then M ...

Warped Product Submanifolds of LP-Sasakian Manifolds

ON WEAKLY m−PROJECTIVELY SYMMETRIC MANIFOLDS

for arbitrary vector fieldsX, Y , Z, U , V ∈ χ(Mn), whereD denotes the operator of covariant differentiation with respect to the Riemannian metric g and A, B, C, D and E are 1−forms (not simultaneously zero). The 1−forms are called the associated 1−forms of the manifold and an n−dimensional manifold of this kind is denoted by (WS)n. Tamassy and Binh [14] further studied weakly symmetric Sasakia...

On Para-sasakian Manifolds

In ([1]), T. Adati and K. Matsumoto defined para-Sasakian and special para-Sasakian manifolds which are considered as special cases of an almost paracontact manifold introduced by I. Sato and K. Matsumoto ([10]). In the same paper, the authors studied conformally symmetric para-Sasakian manifolds and they proved that an ndimensional (n>3) conformally symmetric para-Sasakian manifold is conforma...