广义伪Ricci对称Sasakian流形

Generalized pseudo Ricci symmetric Sasakian manifolds

Chaki引入了非平坦黎曼流形(Mn,g)(n≥2),并称之为伪Ricci对称流形,记为(PRS)n,在此基础上Chaki和Koley定义了一类非平坦黎曼流形,并称为广义伪Ricci对称流形,记为G(PRS)n。讨论了广义Ricci对称Sasakian流形,证明了如果向量场ρ,λ和μ中任意2个正交于ξ,则第3个也正交于ξ。另外计算了广义伪Ricci对称Sasakian流形的数量曲率的值。

Chaki introduced a kind of non-smooth Riemannian manifold (M^n,g)(n≥2) which is named as pseudo Ricci symmetric manifold and symbolized as (PRS)_n on this foundation,Chaki and Koley define another kind of non-smooth Riemannian manifold which is named as generalized pseudo Ricci symmetric manifold and symbolized as G(PRS)_n.In this paper, the generalized pseudo Ricci symmetric Sasakian manifold is discussed .It is testified that if the random two between the vector fields ρ,λ and μ are orthogonat to the vector field ξ and then the third vector field is orthogonat to the vector field ξ.In addition ,the value of the scalar curvature of the generalized pseudo Ricci symmetric Sasakian manifold is workout.