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The object of the present paper is to study weakly projective symmetric manifolds and its decomposability with several non-trivial examples. Among others it is shown that in a decomposable weakly projective symmetric manifold both the decompositions are weakly Ricci symmetric.
The objective of the present paper is to study φ–recurrent Sasakian manifolds.
The object of the present paper is to introduce a type of non-flat Riemannian manifold called pseudo generalized quasi-Einstein manifold and studied some properties of such a manifold with several non-trivial examples.
The object of the present paper is to investigate the applications of pseudo cyclic Ricci symmetric manifolds admitting a semi-symmetric metric connection to the general relativity and cosmology.
The object of the present paper is to study locally ϕ-symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally ϕ-symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally ϕ-symmetric LP-Sasakian manifold with respect to Levi-Civita connection.
Generalized Roter type manifolds form an extended class of Roter type manifolds, which gives rise the form of the curvature tensor in terms of algebraic combinations of the fundamental metric tensor and Ricci tensors upto level 2. The object of the present paper is to investigate the characterization of a warped product manifold to be a generalized… (More)
In this paper the definition of weakly cyclic Ricci symmetric manifolds admitting semi-symmetric metric connection is given and its applications to the general relativity and cosmology are investigated. The existence of such a manifold is proved by an example.