Journal ArticleDOI
Some curvature properties of generalized Sasakian-space-forms
Avijit Sarkar,Uday Chand De +1 more
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TLDR
In this paper, generalized Sasakian-space-forms with vanishing quasi-conformal curvature tensor were studied. And the space-forms satisfying ▿S = 0 and R.S = 1 were considered.Abstract:
The object of the present paper is to study generalized Sasakian-space-forms with vanishing quasi-conformal curvature tensor. The space-forms satisfying ▿S = 0 and R.S = 0 are also considered.read more
Citations
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Journal ArticleDOI
On Generalized Sasakian-Space-Forms
TL;DR: The purpose of as discussed by the authors is to characterize pseudoprojectively flat and pseudopprojective semisymmetric generalized Sasakian-space-forms, which are characterized in this paper.
Journal ArticleDOI
On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms
Uday Chand De,Avijit Sarkar +1 more
TL;DR: In this article, the authors studied the nature of generalized Sasakian-space-forms under some conditions regarding projective curvature tensor and obtained necessary and sufficient conditions for scalar curvature.
Journal Article
Some Results on Generalized Sasakian-Space-Forms
Uday Chand De,Avijit Sarkar +1 more
TL;DR: In this article, the authors studied locally symmetric generalized Sasakian space-forms and generalized generalized SSA-space-forms with -Ricci tensor and showed that these spaces can be constructed in a three-dimensional quasi-SSA structure.
Journal ArticleDOI
ϕ-semisymmetric generalized Sasakian space-forms
Uday Chand De,Pradip Majhi +1 more
TL;DR: In this article, the authors studied ϕ -Weyl semisymmetric and ϕ-projectively semisymmetric generalized Sasakian space-forms and illustrative examples are given.
Journal ArticleDOI
On generalized Sasakian-space-forms with Weyl-conformal curvature tensor
TL;DR: In this paper, the authors studied Weyl-pseudosymmetric generalized Sasakianspace-forms and such space-forms satisfying the conditions C(ξ,X)R = 0 and C(X,S)S = 0, where R and S are the Riemannian curvature tensors and the Ricci tensor, respectively.
References
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Journal ArticleDOI
Generalized Sasakian-space-forms
TL;DR: In this paper, generalized Sasakian-space-forms are introduced and studied, by using some different geometric techniques such as Riemannian submersions, warped products or conformal and related transformations.
Journal ArticleDOI
Riemannian manifolds admitting a conformal transformation group
Kentaro Yano,Sumio Sawaki +1 more
Journal ArticleDOI
On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms
Uday Chand De,Avijit Sarkar +1 more
TL;DR: In this article, the authors studied the nature of generalized Sasakian-space-forms under some conditions regarding projective curvature tensor and obtained necessary and sufficient conditions for scalar curvature.
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On the Projective Curvature Tensor of Generalized Sasakian-Space-Forms
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