Displaying similar documents to “On Super Quasi Einstein Manifold”

On the existence of generalized quasi-Einstein manifolds

Uday Chand De, Sahanous Mallick (2011)

Archivum Mathematicum

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The object of the present paper is to study a type of Riemannian manifold called generalized quasi-Einstein manifold. The existence of a generalized quasi-Einstein manifold have been proved by non-trivial examples.

Characterization on Mixed Generalized Quasi-Einstein Manifold

Sampa Pahan, Buddhadev Pal, Arindam BHATTACHARYYA (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold. ...

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.