Applications of the Tachibana operator on problems of lifts

The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers. The results obtained are to some extent similar to results previously established for tangent (cota...

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Bibliographic Details
Published in:Turkish journal of mathematics 2000, Vol.24 (2), p.173-183
Main Authors: SALIMOV, A.A, MAĞDEN, A, KADIOĞLU, E
Format: Article
Language:English
Subjects:
cross section[area]
Enine kesit[alan]
Kaldırma
lift
Matematik
Mathematics
Tachibana operator
Tachibana operatörü
tensor
Tensör
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Summary:The purpose of the present paper is to study, using the Tachibana operator, the complete lifts of affinor structures along a pure cross-section of the tensor bundle and to investigate their transfers. The results obtained are to some extent similar to results previously established for tangent (cotangent) bundles [1]. However there are various important differences and it appears that the problem of lifting affinor structures to the tensor bundle on the pure cross-section presents difficulties which are not encountered in the case of the tangent (cotangent) bundle.
ISSN:1300-0098
1303-6149