GEOMETRY OF KENMOTSU MANIFOLDS ADMITTING Z-TENSOR.

The object of this paper is to study Kenmotsu manifolds admitting Z-tensor, which is a generalization of Einstein tensor that comes from general relativity. We define a special type of quarter-symmetric non-metric øø and η-connection on a Kenmotsu manifold and we examine some geometric properties of such manifolds with Z-tensor. Some semi-symmetry conditions related to Z-tensor are studied on Kenmotsu manifolds and finally, we observe our results on a 5-dimensional Kenmotsu manifold. [ABSTRACT FROM AUTHOR]

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