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

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...

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Main Author: Lovejoy S. Das
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000191
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author Lovejoy S. Das
author_facet Lovejoy S. Das
author_sort Lovejoy S. Das
collection DOAJ
description 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
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spelling doaj-art-ebe1bc7ac8cf47a6a86e625a45d921752025-02-03T07:25:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119112513010.1155/S0161171296000191On a structure satisfying FK−(−)K+1F=0Lovejoy S. Das0Department of Mathematics, Kent State University, Tuscarawas Campus, New Philadelphia 44663, OH, USAIn 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 paperhttp://dx.doi.org/10.1155/S0161171296000191f-structureintegrability conditionsconformal diffeomorphismNijenhuis tensor.
spellingShingle Lovejoy S. Das
On a structure satisfying FK−(−)K+1F=0
International Journal of Mathematics and Mathematical Sciences
f-structure
integrability conditions
conformal diffeomorphism
Nijenhuis tensor.
title On a structure satisfying FK−(−)K+1F=0
title_full On a structure satisfying FK−(−)K+1F=0
title_fullStr On a structure satisfying FK−(−)K+1F=0
title_full_unstemmed On a structure satisfying FK−(−)K+1F=0
title_short On a structure satisfying FK−(−)K+1F=0
title_sort on a structure satisfying fk k 1f 0
topic f-structure
integrability conditions
conformal diffeomorphism
Nijenhuis tensor.
url http://dx.doi.org/10.1155/S0161171296000191
work_keys_str_mv AT lovejoysdas onastructuresatisfyingfkk1f0