GENERALIZED SASAKIAN SPACE FORMS ON W0-CURVATURE TENSOR
GENERALIZED SASAKIAN SPACE FORMS ON W0-CURVATURE TENSOR
Summary: In this article, generalized Sasakian space forms are investigated on \(W_0\)-curvature tensor. Characterizations of generalized Sasakian space forms are obtained on \(W_0\)-curvature tensor. Special curvature conditions established with the help of Riemann, Ricci, concircular, projective curvature tensors are discussed on \(W_0\)-curvature tensor. With the help of these curvature conditions, important characterizations of generalized Sasakian space forms are obtained. In addition, the concepts of \(W_0\)-pseudosymmetry and \(W_0\)-Ricci pseudosymmetry are defined and the behavior according to these concepts for the generalized Sasakian space form is examined.
- Aksaray University Turkey
- Cumhuriyet University Turkey
\(W_0\)-curvature tensors, Special Riemannian manifolds (Einstein, Sasakian, etc.), Pseudosymmetric Manifold, Sasakian Space Forms, italic > 0-curvature tensors, General geometric structures on manifolds (almost complex, almost product structures, etc.), <italic > 0-curvature tensors, < italic > W <, Sasakian space forms, < italic > W, pseudosymmetric manifold
\(W_0\)-curvature tensors, Special Riemannian manifolds (Einstein, Sasakian, etc.), Pseudosymmetric Manifold, Sasakian Space Forms, italic > 0-curvature tensors, General geometric structures on manifolds (almost complex, almost product structures, etc.), <italic > 0-curvature tensors, < italic > W <, Sasakian space forms, < italic > W, pseudosymmetric manifold
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