• INTEGRABILITY CONDITIONS OF...

Abstract

The idea of f-structure on a differentiable manifold was initiated and developed by Ishihara [6], Yano [3] and others. We [2] have defined a structure of rank r on a manifold with a tensor field f of type (1, 1) satisfying and obtained certain results on this structure. Further studies of this structure reveals the integrability conditions of the structure which are discussed in the current paper. We have also discussed Nijenhuis tensor and Lie derivative for this structure.