Complete lift of a structure satisfying FK−(−)K+1F=0
The idea of f-structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others. The horizontal and complete lifts from a differentiable manifold Mn of class C∞ to its cotangent bundles have been studied by Yano and Patterso...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171292001042 |
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| _version_ | 1832556113354031104 |
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| author | Lovejoy S. Das |
| author_facet | Lovejoy S. Das |
| author_sort | Lovejoy S. Das |
| collection | DOAJ |
| description | The idea of f-structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others. The horizontal and complete lifts from a differentiable manifold Mn of class C∞ to its cotangent bundles have been studied by Yano and Patterson [4,5]. Yano and Ishihara [6] have studied lifts of an f-structure in the tangent and cotangent bundles. The purpose of this paper is to obtain integrability conditions of a structure satisfying FK−(−)K+1F=0 and FW−(−)W+1F≠0 for 1<W<K, in the tangent bundle. |
| format | Article |
| id | doaj-art-4921b593c274471c84af0c1ef802bcaa |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4921b593c274471c84af0c1ef802bcaa2025-02-03T05:46:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115480380810.1155/S0161171292001042Complete lift of a structure satisfying FK−(−)K+1F=0Lovejoy S. Das0Department of Mathematics, Kent State University, Tuscarawas Campus, New Philadelphia 44663, Ohio, USAThe idea of f-structure manifold on a differentiable manifold was initiated and developed by Yano [1], Ishihara and Yano [2], Goldberg [3] and among others. The horizontal and complete lifts from a differentiable manifold Mn of class C∞ to its cotangent bundles have been studied by Yano and Patterson [4,5]. Yano and Ishihara [6] have studied lifts of an f-structure in the tangent and cotangent bundles. The purpose of this paper is to obtain integrability conditions of a structure satisfying FK−(−)K+1F=0 and FW−(−)W+1F≠0 for 1<W<K, in the tangent bundle.http://dx.doi.org/10.1155/S0161171292001042tangent bundlecomplete liftF-structureintegrabilitydistributions. |
| spellingShingle | Lovejoy S. Das Complete lift of a structure satisfying FK−(−)K+1F=0 International Journal of Mathematics and Mathematical Sciences tangent bundle complete lift F-structure integrability distributions. |
| title | Complete lift of a structure satisfying FK−(−)K+1F=0 |
| title_full | Complete lift of a structure satisfying FK−(−)K+1F=0 |
| title_fullStr | Complete lift of a structure satisfying FK−(−)K+1F=0 |
| title_full_unstemmed | Complete lift of a structure satisfying FK−(−)K+1F=0 |
| title_short | Complete lift of a structure satisfying FK−(−)K+1F=0 |
| title_sort | complete lift of a structure satisfying fk k 1f 0 |
| topic | tangent bundle complete lift F-structure integrability distributions. |
| url | http://dx.doi.org/10.1155/S0161171292001042 |
| work_keys_str_mv | AT lovejoysdas completeliftofastructuresatisfyingfkk1f0 |