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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Language: | English |
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Wiley
1996-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |
format | Article |
id | doaj-art-ebe1bc7ac8cf47a6a86e625a45d92175 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1996-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
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 |