EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 89(103), pp. 95–104 (2011)

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ON SUPER QUASI EINSTEIN MANIFOLD

Pratyay Debnath and Arabinda Konar

Hooghly Engineering and Technology College, Pipulpati, Hooghly, 712103, India and Department of Mathematics, University of Kalyani, Nadia, 741235, India

Abstract: We study super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime. The existence of super quasi Einstein manifold and viscous fluid super quasi Einstein spacetime are shown by two closely related examples. Also, some results involving super quasi Einstein manifold, pseudo quasi Einstein manifold and quasi Einstein manifold are established. Finally, the bounds of the cosmological constant in a viscous fluid super quasi Einstein spacetime are deduced.

Keywords: quasi Einstein manifold, parallel vector field, pseudo quasi Einstein manifold, viscous fluid spacetime

Classification (MSC2000): 53C50, 53C25, 53B30; 53C80, 53B50

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