-quasi Einstein manifolds satisfying certain curvature conditions
Uday Chand De, Sahanous Mallick (2014)
Matematički Vesnik
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Uday Chand De, Sahanous Mallick (2014)
Matematički Vesnik
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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.
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Balkan Journal of Geometry and its Applications (BJGA)
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Balkan Journal of Geometry and its Applications (BJGA)
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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. ...