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2012•Lobachevskii Journal of MathematicsRequires access

On generalized Sasakian-space-forms with Weyl-conformal curvature tensor

Doddabhadrappla Gowda Prakasha

Open publisher page 14 citations

Abstract

The object of the this paper is to study Weyl-pseudosymmetric generalized Sasakianspace-forms and such space-forms satisfying the conditions C ( ξ,X ) R = 0 and C ( ξ,X ) S = 0, where C is the Weyl-conformal curvature tensor, R and S are the Riemannian curvature tensor and the Ricci tensor of the space-form respectively.

About this research paper

What this paper is about

The object of the this paper is to study Weyl-pseudosymmetric generalized Sasakianspace-forms and such space-forms satisfying the conditions C ( ξ,X ) R = 0 and C ( ξ,X ) S = 0, where C is the Weyl-conformal curvature tensor, R and S are the Riemannian curvature tensor and the Ricci tensor of the space-form respectively.

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OpenAlex reports 14 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The object of the this paper is to study Weyl-pseudosymmetric generalized Sasakianspace-forms and such space-forms satisfying the conditions C ( ξ,X ) R = 0 and C ( ξ,X ) S = 0, where C is the Weyl-conformal curvature tensor, R and S are the Riemannian curvature tensor and the Ricci tensor of the space-form respectively.

Key concepts: Weyl tensor, Mathematics, Weyl transformation, Ricci decomposition, Riemann curvature tensor, Ricci curvature, Curvature, Conformal map

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