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2015•Unpublished venueRequires access

CERTAIN CURVATURE CONDITIONS SATISFIED BY N(k)-QUASI EINSTEIN MANIFOLDS

Tarini A Kotamkar, Dr.Brajendra Tiwari

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Abstract

In present paper N(k)-quasi Einstein manifolds is studied and its existence is Proved by two non-trivial examples. A physical example of an N(k)-quasi-Einstein manifold is given. We study an N(k)-quasi-Einstein manifold satisfying certain curvature conditions like Ž(X).S = 0, and P (X) . C = 0. Also studied Ricci-pseudosymmetric N(k)-quasi-Einstein manifolds.

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In present paper N(k)-quasi Einstein manifolds is studied and its existence is Proved by two non-trivial examples. A physical example of an N(k)-quasi-Einstein manifold is given. We study an N(k)-quasi-Einstein manifold satisfying certain curvature conditions like Ž(X).S = 0, and P (X) . C = 0. Also studied Ricci-pseudosymmetric N(k)-quasi-Einstein manifolds.

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Available abstract

In present paper N(k)-quasi Einstein manifolds is studied and its existence is Proved by two non-trivial examples. A physical example of an N(k)-quasi-Einstein manifold is given. We study an N(k)-quasi-Einstein manifold satisfying certain curvature conditions like Ž(X).S = 0, and P (X) . C = 0. Also studied Ricci-pseudosymmetric N(k)-quasi-Einstein manifolds.

Key concepts: Einstein, Einstein manifold, Ricci curvature, Manifold (fluid mechanics), Ricci-flat manifold, Curvature, Mathematics, Pure mathematics

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