Displaying similar documents to “On weakly symmetric spacetimes”

On generalized M-projectively recurrent manifolds

Uday Chand De, Prajjwal Pal (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.

On Weakly W 3 -Symmetric Manifolds

Shyamal Kumar Hui (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of the present paper is to study weakly W 3 -symmetric manifolds and its decomposability with the existence of such notions. Among others it is shown that in a decomposable weakly W 3 -symmetric manifold both the decompositions are weakly Ricci symmetric.

On a generalized class of recurrent manifolds

Absos Ali Shaikh, Ananta Patra (2010)

Archivum Mathematicum

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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.

On weakly cyclic Ricci symmetric manifolds

A. A. Shaikh, Sanjib Kumar Jana (2006)

Annales Polonici Mathematici

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We introduce a type of non-flat Riemannian manifolds called weakly cyclic Ricci symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.