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τ-Curvature On Kenmotsu Manifold


Venkatesha and Vishnuvardhana. S. V.


In the present paper we have obtained the necessary and sufficient condition for a extended generalized τ -ϕ-recurrent Kenmotsu manifold to be a generalized ricci-recurrent manifold. Furthermore, we have studied τ -ϕ-symmetric Kenmotsu manifold, τ -ξ-flat Kenmotsu manifold and a Kenmotsu manifold satisfying τ (X, Y ) · R = 0.

Keywords and Phrases : τ -curvature tensor, τ -ϕ-symmetric Kenmotsu manifold, extended generalized τ -ϕ-recurrent Kenmotsu manifold, η-Einstein manifold, τ -ξ-flat Kenmotsu manifold
AMS Subject Classification : : 53C05, 53C20, 53C50

Received date : November 11, 2013

Accepted date: April 14, 2014

cited by: J.T.S. Vol. 8 (2014), pp.103-111

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