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DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1,1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS
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 Title & Authors
DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1,1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS
Gezer, Aydin; Salimov, Arif;
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 Abstract
The main purpose of this paper is to investigate diagonal lift of tensor fields of type (1,1) from manifold to its tensor bundle of type (p, q) and to prove that when a manifold admits a structure (,g), its tensor bundle of type (p,q) admits an complex structure.
 Keywords
tensor bundle;diagonal lift;complex structure;Nijenhuis tensor structure;
 Language
English
 Cited by
1.
On the (1, 1)-tensor bundle with Cheeger–Gromoll type metric, Proceedings - Mathematical Sciences, 2015, 125, 4, 569  crossref(new windwow)
2.
On operators associated with tensor fields, Journal of Geometry, 2010, 99, 1-2, 107  crossref(new windwow)
 References
1.
N. Cengiz and A. A. Salimov, Complete lifts of derivations to tensor bundles, Bol. Soc. Mat. Mexicana (3) 8 (2002), no. 1, 75-82

2.
A. Ledger and K. Yano, Almost complex structures on tensor bundles, J. Differential Geometry 1 (1967), 355-368

3.
A. Magden, N. Cengiz, and A. A. Salimov, Horizontal lift of affinor structures and its applications, Appl. Math. Comput. 156 (2004), no. 2, 455-461 crossref(new window)

4.
A. Magden and A. A. Salimov, Horizontal lifts of tensor fields to sections of the tangent bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (2001), no. 3, 77-80

5.
A. Magden and A. A. Salimov, Horizontal lifts of tensor fields to sections of the tangent bundle, translation in Russian Math. (Iz. VUZ) 45 (2001), no. 3, 73-76

6.
A. A. Salimov, A new method in the theory of liftings of tensor fields in a tensor bundle, Izv. Vyssh. Uchebn. Zaved. Mat. (1994), no. 3, 69-75

7.
A. A. Salimov, A new method in the theory of liftings of tensor fields in a tensor bundle, translation in Russian Math. (Iz. VUZ) 38 (1994), no. 3, 67-73

8.
K. Yano and S. Ishihara, Tangent and Cotangent Bundles: Differential Geometry, Pure and Applied Mathematics, No. 16. Marcel Dekker, Inc., New York, 1973

9.
K. Yano and M. Kon, Structures on Manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984