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Integrability conditions of Fa(K-1)-structure satisfying Fk - a2F=0

Prasad C. S., Gupta V. C.

Demonstratio Mathematica

2002

Vol. 35, nr 1

147-153

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.