International Journal of Mathematics and Mathematical Sciences 
Volume 19 (1996), Issue 1, Pages 125-130
doi:10.1155/S0161171296000191

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

Lovejoy S. Das

 Department of Mathematics, Kent State University, Tuscarawas Campus, New Philadelphia 44663, OH, USA
Received 23 October 1993; Revised 6 July 1994

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