Given an almost contact metric manifold M(\phi,\xi,\eta, g), we say
that M is a generalized Sasakian-space-form if there exist three functions f1, f2, f3
on M such that the curvature tensor R is given by
In (2n+1) dimensional generalized Sasakian space form M2n+1(f_1,f_2,f_3), we have the following relations.
for any vector fields X, Y on M, where R, S, C\bar, and r denote the Riemannian curvature tensor, Ricci tensor, concircular curvature tensor and scalar curvature of M2n+1(f1, f2, f3), respectively
Using above equations I have to evaluate P(C\bar(\xi,X)Y,Z)U.
Manually It is tedious job. Can we find the value by maple? Is there any option to solve these type of problems?
If yes, I can solve many more, which helps a lot in my work.. Thanks in advance.