Publication: On Z-Symmetric Manifold Admitting Projective Curvature Tensor
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International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
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Abstract
The object of the present paper is to study the Z-symmetric manifold with the projective curvature tensor. At first, we study the case of Z-tensor and projective Ricci tensor being of Codazzi type. Next, we consider recurrent Z-tensor and recurrent projective Ricci tensor. We also study the Z-symmetric manifold with projective curvature tensor with divergence-free Z-tensor. Finally, we construct an example of the Z-symmetric manifold with projective curvature tensor.
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recurrent tensor, Matematik, Local Riemannian geometry, Special Riemannian manifolds (Einstein, Sasakian, etc.), Projective connections, Projective curvature tensor, Z-symmetric tensor, Codazzi tensor, recurrent tensor, projective curvature tensor, Other connections, Z-symmetric tensor, Codazzi tensor, Mathematical Sciences