On a structure satisfying FK−(−)K+1F=0

Abstract

In this paper we shall obtain certain results on the structure defined by F(K,−(−)K+1) and satisfying FK−(−)K+1F=0, where F is a non null tensor field of the type (1,1) Such a structure on an n-dimensional differentiable manifold Mn has been called F(K,−(−)K+1) structure of rank “r”, where the rank of F is constant on Mn and is equal to “r” In this case Mn is called an F(K,−(−)K+1) manifold. The case when K is odd has been considered in this paper

Keywords

• f-structure
• integrability conditions
• conformal diffeomorphism
• Nijenhuis tensor.