Ishihara and Yano [3] have obtained the integrability conditions of a structure / satisfying f3 +f4 = 0. Andreou [2] has studied the integrability conditions of a structure f, satisfying f5 + f = 0. The purpose of the present paper is to obtain the integrability conditions of a Fa(K, l)-structure satisfying Fk - a2 F = 0, where K is a positive integer > 2. Firstly, the Nijenhuis tensor of Fa{K,1)- structure has been studied and then the partial Integrability conditions and integrability conditions of this structure has been established in terms of its Nijenhuis tensor.
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In this paper we shall study the harmonicity and D-pluriharmonicity of a (phi, J)-holomorphic map from a nearly trans-Sasaki manifold into an almost Hermitian manifold.
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