Öz
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
Kaynakça
- 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.
Öz
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.
Anahtar Kelimeler
Complete lift cross-section pull-back bundle tangent bundle vector field
Kaynakça
- 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.
Ayrıntılar
| Bölüm | Derleme Makaleler |
|---|---|
| Yazarlar | |
| Yayımlanma Tarihi | 15 Aralık 2017 |
| Gönderilme Tarihi | 12 Temmuz 2017 |
| Yayımlandığı Sayı | Yıl 2017 Cilt: 7 Sayı: 2 |
