EMIS ELibM Electronic Journals Publications de l’Institut Mathématique, Nouvelle Série
Vol. 102[116], pp. 221–230 (2017)

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Kenmotsu manifolds with generalized Tanaka–Webster connection

Gopal Ghosh, Uday Chand De

Department of Mathematics, Bangabasi Evening College, Kolkata, India; Department of Pure Mathematics, University of Calcutta, Kolkata, India

Abstract: We study the g-Tanaka–Webster connection associated to a Kenmotsu structure. With the help of g-Tanaka–Webster connection we characterize Kenmotsu manifolds and find certain curvature properties of this connection on Kenmotsu manifolds. Finally an illustrative example is given to verify some results.

Keywords: Kenmotsu manifolds, g-Tanaka–Webster connection, Einstein manifold, Ricci tensor, concircular curvature tensor

Classification (MSC2000): 53C05; 53D15

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