Scope of this paper is to express the Nijenhius Tensor in various forms in Hyperbolic Hsu-Structure manifold. Firstly Hyperbolic Hsu-Structure manifold has been studied and discussed by Dr. R.S. Mishra [3], [4] and some of the great geometricians have also done work in Nijenhius Tensor in different differentiable manifold structures [5], [6], [7], [9]. In this paper, we have taken even dimensional differentiable manifold Vn(n = 2m) of differentiability class C ∞, where we have definedthe Nijenhius Tensor in Hyperbolic Hsu-Structure manifold and the decomposition of the Nijenhius Tensor in Hyperbolic Hsu-Structure has been done. And some of its properties have also been discussed. Similarly the decomposition of the associate Nijenhius Tensor and its properties in Hyperbolic Hsu-structure manifold has been discussed.
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