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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. AMS Mathematics Subject Classification (2000): 53C05, 53C20, 53C25
We extend the notion of generalized φ-recurrent β-Kenmotsu manifold and study its various geometric properties with the existence of such notion.
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 amanifold 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 φsymmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally φsymmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally φ-symmetric LP-Sasakian manifold with respect to Levi-Civita connection.… (More)
The object of the present paper is to introduce a non-flat Riemannian manifold called hyper-generalized recurrent manifolds and study its various geometric properties along with the existence of a proper example.
In the present study, we considered 3-dimensional generalized (κ, μ)-contact metric manifolds. We proved that a 3-dimensional generalized (κ, μ)-contact metric manifold is not locally φ-symmetric in the sense of Takahashi. However such a manifold is locally φ-symmetric provided that κ and μ are constants. Also it is shown that if a 3-dimensional 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.