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Para-Sasakian manifolds satisfying certain curvature conditions
Krishanu Mandal,Uday Chand De +1 more
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In this paper, a 3D P-Sasakian manifold with the conditions R(X, ξ) · C = 0 and C \cdot \widetilde Z = 0, where C and Z are the Weyl conformal curvature tensors and the concircular curvatures tensors respectively.Abstract:
In this paper, we investigate P-Sasakian manifolds satisfying the conditions R(X, ξ) · C = 0 and $$C \cdot \widetilde Z = 0$$
, where C and $$\widetilde Z$$
are the Weyl conformal curvature tensor and the concircular curvature tensor respectively. Next, we study 3-dimensional P-Sasakianmanifolds. Finally, we give an example of a 3-dimensional P-Sasakian manifold.read more
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On a classification of para-sasakian manifolds
Pradip Majhi,Gopal Ghosh +1 more
TL;DR: In this paper, the curvature conditions of para-Sasakian manifolds satisfying the Ricci operator were considered. But the curvatures of these manifolds were not considered.
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Results on para-Sasakian manifold admitting a quarter symmetric metric connection
Vishnuvardhana. S.V.,Venkatesha +1 more
TL;DR: In this paper, the authors studied pseudosymmetric, Ricci-pseudosymmetric and projectively pseudo-ymmetric para-Sasakian manifold admitting a quarter-symmetric metric connection.
References
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Journal ArticleDOI
Structure theorems on Riemannian spaces satisfying $R(X,\,Y)\cdot R=0$. I. The local version
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Complete Riemannian manifolds and some vector fields
TL;DR: In this article, a nonconstant scalar field p in an n-dimensional Riemannian manifold with metric tensor field (1) g is defined as a concircular scalar fields.