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

Title & Authors
DIAGONAL LIFTS OF TENSOR FIELDS OF TYPE (1,1) ON CROSS-SECTIONS IN TENSOR BUNDLES AND ITS APPLICATIONS
Gezer, Aydin; Salimov, Arif;

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 $\small{M_n}$ admits a $\small{K\ddot{a}hlerian}$ structure ($\small{\varphi}$,g), its tensor bundle of type (p,q) admits an complex structure.
Keywords
tensor bundle;diagonal lift;complex structure;Nijenhuis tensor$\small{K\ddot{a}hlerian}$ structure;
Language
English
Cited by
1.
On the (1, 1)-tensor bundle with Cheeger–Gromoll type metric, Proceedings - Mathematical Sciences, 2015, 125, 4, 569
2.
On operators associated with tensor fields, Journal of Geometry, 2010, 99, 1-2, 107
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