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http://dx.doi.org/10.4134/JKMS.2008.45.2.367

DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1,1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS  

Gezer, Aydin (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES ATATURK UNIVERSITY)
Salimov, Arif (DEPARTMENT OF MATHEMATICS FACULTY OF ARTS AND SCIENCES ATATURK UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.45, no.2, 2008 , pp. 367-376 More about this Journal
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 $M_n$ admits a $K\ddot{a}hlerian$ structure ($\varphi$,g), its tensor bundle of type (p,q) admits an complex structure.
Keywords
tensor bundle; diagonal lift; complex structure; Nijenhuis tensor$K\ddot{a}hlerian$ structure;
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1 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
2 A. Ledger and K. Yano, Almost complex structures on tensor bundles, J. Differential Geometry 1 (1967), 355-368   DOI
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   DOI   ScienceOn
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. 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
6 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
7 K. Yano and S. Ishihara, Tangent and Cotangent Bundles: Differential Geometry, Pure and Applied Mathematics, No. 16. Marcel Dekker, Inc., New York, 1973
8 K. Yano and M. Kon, Structures on Manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, 1984
9 N. Cengiz and A. A. Salimov, Complete lifts of derivations to tensor bundles, Bol. Soc. Mat. Mexicana (3) 8 (2002), no. 1, 75-82