Abstract:
The goal of this project, is to study the properties of W5-Curvature tensor in LP -Sasakian
manifold and the following theorem are proved.
- A W5 -flat LP-Manifold is a flat manifold.
- A W5 -Semisymmetric LP-Sasakian manifold is said to be W5-flat manifold.
- A W5 -Symmetric and W5 -flat LP-Sasakian manifold is a flat manifold.
-A W5-Recurrent LP-Sasakian manifold with R(X,Y)W5(Z,U)V = 0 and A(X)g(Y,Z) −
(2−
1
n−1
)g(X,Z)A(Y) = 0 is a W5-Symmetric space.
