Journal ArticleDOI
C-Bochner curvature tensor on N(k)-contact metric manifolds
TLDR
In this article, the authors studied C-Bochner pseudosymmetric N(k)-contact metric manifolds and such manifolds satisfying B.S = 0, where B is the Bochner curvature tensor and S is the Ricci tensor of the manifold.Abstract:
The object of the present paper is to study C-Bochner pseudosymmetric N(k)-contact metric manifolds and such manifolds satisfying B.S = 0, where B is the C-Bochner curvature tensor and S is the Ricci tensor of the manifold.read more
Citations
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Pseudo Symmetric and Pseudo Ricci Symmetric $N(k)$-Contact Metric Manifolds
TL;DR: In this paper, the existence of pseudo symmetric, pseudo Ricci symmetric and generalized Ricci recurrent $N(k)$-contact metric manifolds is studied. But the present paper is not concerned with the relation between these manifold types.
Weakly Symmetric and Weakly Concircular Symmetric N(k)-Contact Metric Manifolds
TL;DR: In this article, the authors studied weakly symmetric, weakly Ricci symmetric and weakly concircular symmetric N(k)-contact metric manifolds with respect to weakly convexity.
Journal Article
On C-Bochner curvature tensor of (k,µ)-contact metric manifolds
TL;DR: In this article, the authors studied the C -Bochner curvature tensor in an n -dimensional (n 5) (k; � )-contact metric man-ifold.
Posted Content
Certain Curvature Conditions on N(k)-Paracontact Metric Manifolds
TL;DR: In this paper, the authors studied pseudo-symmetric, Ricci generalized pseudo-smmetric and generalized Ricci recurrent N(k)-Paracontact Metric Manifolds.
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.
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Structure theorems on Riemannian spaces satisfying $R(X,\,Y)\cdot R=0$. I. The local version
Journal ArticleDOI
Contact metric manifolds satisfying a nullity condition
TL;DR: In this article, a study of contact metric manifolds for which the characteristic vector field of the contact structure satisfies a nullity type condition, condition (*) below, is presented.
Journal ArticleDOI
Ricci curvatures of contact riemannian manifolds
TL;DR: In this paper, a variete de Riemann de contact de courbure φ-sectionnelle constante H.Riemann et al. satisfait Ric(X,X)+Ric(φX, φX)≤3n−1+(n+1)H pour chaque vecteur unite X∈T x M x∈M, tels que η(X)=0.
Journal ArticleDOI
A full classification of contact metric $(k,\mu)$-spaces
TL;DR: In this paper, it was shown that a non-Sasakian contact metric manifold whose characteristic vector field belongs to the $(k,\mu)$-nullity distribution is completely determined locally by its dimension and the values for $k$ and $\mu$.
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