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The aim of this paper is to study the tangent bundle of Norden manifolds endowed with the complete lift of a Weyl connetion. Firstly, the condition for an almost Norden manifold of being a Norden manifold endowed with the Weyl connection is investigated. Finally, the condition for the tangent bundle of an almost Norden manifold of being a Norden manifold endowed with the Weyl connection is investigated.

ON THE TANGENT BUNDLE OF A NORDEN MANIFOLD ENDOWED WITH A WEYL CONNECTION