Pseudo Projectively Flat Manifolds Satisfying Certain Condition on the Ricci Tensor
نویسندگان
چکیده
In this paper we consider pseudo projectively flat Riemannian manifold whose Ricci tensor S satisfies the condition S(X,Y ) = rT (X)T (Y ), where r is the scalar curvature, T is a non-zero 1-form defined by g(X, ξ) = T (X), ξ is a unit vector field and prove that the manifold is of pseudo quasi constant curvature, integral curves of the vector field ξ are geodesic and ξ is a proper concircular vector field, manifold is locally product type and it can be expressed as a warped product IXeqM? where M? is an Einstein manifold. 2000 Mathematics Subject Classification: 53C25.
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