Tanjant Demet İzdüşümü ile Tanımlı Tensör Demetinin Pull-Back Demeti

Bu çalışmada, M manifoldu üzerinde tanımlı TM tanjant demetinin izdüşümü (submersionu) ile (p,q) tipli tM yarı-tensör (pull-back) demeti tanımlanmıştır. Ayrıca tM yarı-tensör (pull-back) demetinin bu özel sınıfında kesitler incelenmiştir.

Anahtar Kelimeler:

Kesit, Pull-back demeti, Tam lift, Tanjant demeti, Vektör alanı

A Pull-Back Bundle of Tensor Bundles Defined by Projection of The Tangent Bundle

Using projection (submersion) of the tangent bundle TM over a manifold M, we define a semitensor (pull-back) bundle tM of type (p,q). In this context cross-sections in a special class of semitensor (pull-back) bundle tM can be also defined.

Keywords:

Complete lift, cross-section pull-back bundle, tangent bundle, vector field,

PDF

___

1. Isham C J, (1999)."Modern differential geometry for physicists". World Scientific.
2. Fattaev H, (2009). The Lifts of Vector Fields to the Semitensor Bundle of the Type (2,0). Journal of Qafqaz University, 25, no. 1, 136-140.
3. Gezer A, Salimov A A, (2008). Almost complex structures on the tensor bundles. Arab. J. Sci. Eng. Sect. A Sci. 33, no. 2, 283–296.
4. Husemoller D, (1994). Fibre Bundles. Springer, New York. 5. Lawson H B, Michelsohn M L, (1989). Spin Geometry. Princeton University Press., Princeton.
6. Ledger A J, Yano K, (1967). Almost complex structure on tensor bundles. J. Dif. Geom. 1, 355-368.
7. Pontryagin L S, (1947). Characteristic cycles on differentiable manifolds. Rec. Math. (Mat. Sbornik) N.S., 21(63):2, 233-284.
9. Salimov A, (2013). Tensor Operators and their Applications. Nova Science Publ., New York.
10. Salimov A A, Kadıoğlu E, (2000). Lifts of Derivations to the Semitangent Bundle. Turk J. Math. 24(2000), 259-266. Ata Uni.
11. Steenrod N, (1951). The Topology of Fibre Bundles. Princeton University Press., Princeton.
12. Yano K, Ishihara S, (1973). Tangent and Cotangent Bundles. Marcel Dekker, Inc., New York.
13. Yıldırım F, (2015). On a special class of semi-cotangent bundle. Proceedings of the Institute of Mathematics and Mechanics, (ANAS) 41, no. 1, 25-38.
15. Yıldırım F, Salimov A, (2014). Semi-cotangent bundle and problems of lifts. Turk J. Math, 38, 325-339.