Prakasha, D G and Hadimani, Balachandra S (2018) On the Conharmonic Curvature Tensor of Kenmotsu Manifolds with Generalized Tanaka-Webster Connection. Miskolc Mathematical Notes, 19 (1). pp. 491-503. ISSN 1787-2405

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Abstract

In this paper, we study a generalized Tanaka-Webster connection on a Kenmotsu manifold. We study the conharmonic curvature tensor with respect to the generalized Tanaka-Webster connection er and also characterize conharmonically flat and locally �-conharmonically symmetric Kenmotsu manifold with respect to the connectioner. Besides these we also classify Kenmotsu manifolds which satisfyeK �eR D 0 andeP �eK D 0, whereeK andeP are the conharmonic curvature tensor, the projective curvature tensor and Riemannian curvature tensor, respectively with respect to the connection

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