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Ricci solitons in Sasakian manifold

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Recently the present author introduced the notion of generalized quasi-conformal curvature tensor which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. The object of… Click to show full abstract

Recently the present author introduced the notion of generalized quasi-conformal curvature tensor which bridges conformal curvature tensor, concircular curvature tensor, projective curvature tensor and conharmonic curvature tensor. The object of the present paper is to find out curvature conditions for which Ricci solitons in Sasakian manifolds are sometimes shrinking and some other time remain expanding.

Keywords: ricci solitons; solitons sasakian; sasakian manifold; curvature tensor; curvature

Journal Title: Afrika Matematika
Year Published: 2017

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