Geodesic
Characterization on Mixed Generalized Quasi-Einstein Manifold
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 143-155.

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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.
Classification : 53C25
Keywords: Einstein manifold; quasi-Einstein manifold; generalized quasi-Einstein manifold; mixed generalized quasi-Einstein manifold; super quasi-Einstein manifold; warped product 
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Pahan, Sampa; Pal, Buddhadev; BHATTACHARYYA, Arindam. Characterization on Mixed Generalized Quasi-Einstein Manifold. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 143-155. http://geodesic.mathdoc.fr/item/AUPO_2016__55_2_a11/