Some Curvature Conditions Provided by the Projective Curvature Tensor on the Almost C(α)-Manifold
Projective Curvature Tensor on the Almost C(α)-Manifold
Abstract
In this article, the projective curvature tensor on a C(α)-manifold is discussed. Some special curvature conditions provided by the projective curvature tensor on the Riemann, Ricci, concircular curvature tensors have been investigated. As a result of the curvature conditions given with the projective curvature tensor on a C(α)-manifold, cases such as the (2n+1)-dimensional manifold being Einstein and η-Einstein manifolds have been characterized.
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References
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