Full Length Research Paper
Abstract
The aim of the present paper is to study weakly symmetric and weakly Ricci symmetric an LP-Sasakian manifolds and proved that if weakly symmetric LP-Sasakian manifold satisfies 
-parallel Ricci condition then the scalar curvature of the manifolds is equal to rank of 
. If weakly symmetric an LP-Sasakian manifolds satisfies Ricci tensor of coddazi type then the manifolds is R-Harmonic, further we have obtained the necessary condition for weakly symmetric an LP- Sasakian manifolds has cyclic Ricci tensor is that vanishing the 
-forms 
for all the vector field 
and
.
Key words: Coddazi type Ricci tensor, R-harmonic manifold, cyclic Ricci tensor,
-parallel Ricci tensor and quasi Einstein manifold.
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