Abstract

Most of the conharmonic tensor studies are applied on Riemannian space. In this work we investigated the conharmonic curvature tensor of some more specific important classes, In particular, the nearly Kahler and almost Kahler manifolds. Firstly, three special classes of almost Hermitian manifold depending on conharmonic tensor have been defined. We found the relation between these classes and the class nearly Kahler manifold. The conharmonic recurrent of nearly Kahler manifold has been studied. Secondly, we found the necessary condition where an almost Kahler manifold is a manifold of a pointwise holomrphic conharmonic tensor.

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