Some curvature properties of generalized Sasakian-space-forms. (English) Zbl 1254.53077
Summary: The object of the present paper is to study generalized Sasakian-space-forms with vanishing quasi-conformal curvature tensor. The space-forms satisfying \(\nabla S=0\) and \(R.S = 0\) are also considered.
MSC:
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53C15 | General geometric structures on manifolds (almost complex, almost product structures, etc.) |
Keywords:
generalized Sasakian-space-form; quasi-conformally flat; Ricci-symmetric; Ricci-semisymmetricReferences:
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