Journal ArticleDOI
On the C-Bochner Curvature Tensor of Generalized Sasakian-Space-Forms
Shyamal Kumar Hui,Doddabhadrappla Gowda Prakasha +1 more
- Vol. 85, Iss: 3, pp 401-405
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TLDR
In this paper, the authors studied C-Bochner pseudosymmetric generalized Sasakian-space-forms and such space-forms with C-bochner curvature tensor satisfying the conditionsAbstract:
In this paper we study C-Bochner pseudosymmetric generalized Sasakian-space-forms and such space-forms with C-Bochner curvature tensor \(B\) satisfying the conditions \(B(\xi , X)\cdot S=0\), \(B(\xi , X)\cdot R=0\) and \(B(\xi , X)\cdot B = 0\), where \(R\) and \(S\) denotes the Riemann curvature tensor and Ricci tensor of the space-form, respectively.read more
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Journal ArticleDOI
A Study on Ricci Solitons in Kenmotsu Manifolds
TL;DR: Ricci solitons in Kenmotsu manifolds satisfying C-Bochner and pseudo-projective curvature tensor are studied and results are obtained.
Journal ArticleDOI
Generalized Sasakian-space-forms and Ricci almost solitons with a conformal killing vector field
TL;DR: In this article, generalized Sasakian-space-forms whose metric is Ricci almost soliton with a conformal killing vector field are studied and sufficient conditions of such type of Ricci Almost Solitons to be expanding, steady and shrinking respectively.
Journal Article
E-Bochner curvature tensor on N(k)-contact metric manifolds
Uday Chand De,Sujit Ghosh +1 more
TL;DR: In this paper, the E-Bochner curvature tensor B e satisfying R:B e = 0, B e :R = 0 and S:S = 0 in an ndimensional N(k)-contact metric manifold was studied.
Some results on Generalized Sasakian space forms
TL;DR: In this paper, the authors studied the curvature tensors in generalized Sasakian space forms and showed that the curvatures of the tensors are concircular, projective and projective.
On the w5-curvature tensor of generalized sasakian-space-forms
TL;DR: In this article, generalized Sasakian-space-forms satisfying certain curvature conditions on W5-curvature tensors were characterized, including W5 at, W5 -at and W5 semisymmetric space-forms.
References
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Book
Contact manifolds in Riemannian geometry
TL;DR: In this paper, the tangent sphere bundle is shown to be a contact manifold, and the contact condition is interpreted in terms of contact condition and k-contact and sasakian structures.
Book
Curvature and Betti numbers
健太郎 矢野,Salomon Bochner +1 more
TL;DR: In this paper, the authors proposed a pseudo-harmonic tensors and pseudo-killing tensors in metric Manifolds with Torsion, which can be seen as a kind of semi-simple group spaces.
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Structure theorems on Riemannian spaces satisfying $R(X,\,Y)\cdot R=0$. I. The local version
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.