Journals / Karaelmas Fen ve Mühendislik Dergisi / 2026 / Cilt: 7 Sayı: 1

Integrability Conditions and Tachibana Operators According to F NF 2 cc 1 - c^ h on Semi Cotangent Bundle t * Mn

Semi Cotangent Demette F NF 2 cc 1 - c^ h Yapısına Göre Tachibana Operatörleri ve İntegrallenebilme Şartları

Haşim Çayır(Giresun University, Department of Mathematics, Faculty of Arts and Sciences, Giresun, Turkey)
Pages
165–170
Publication Date
2017-01-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .
📊
Key Findings & Data:The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .
💡
Conclusion & Impact:The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Almost kompleks yapı · Komple lift · Integrallenebilme şartları

Abstract

The main aim of this paper is to find integrability conditions by calculating Nijenhuis Tensors N ^{cc}X,^{cc}Y , N ^{cc}X,^{vv}ω , N ^{vv}ω,^{vv}θ of almost complex structure ^{cc}F- 1/2 γ NF and to show the results of Tachibana operators applied ^{cc}X and ^{vv}ω according to the structure ^{cc}F- 1/2 γ NF in semi cotangent bundle t^{∗} M_{n} .

Özet

Bu çalışmanın temel amacı Ftensörlerini hesaplayarak integrallenebilme şartlarını bulmak ve t* Mn semi cotangent demeti içerisinde FccX ve vvw ye uygulanan Tachibana operatörlerinin sonuçlarını göstermektir

🔖

Cite This Article

Çayır, H. (2017). Integrability Conditions and Tachibana Operators According to F NF 2 cc 1 - c^ h on Semi Cotangent Bundle t * Mn. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 7 Sayı: 1, 165–170. https://ajindex.com/articles/1152664

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Husemöller, D. 1994. Fibre Bundles. New York, NY, USA, Springer. 353 pp.
  2. Lawson, HB., Michelsohn, ML. 1989. Spin Geometry, Princeton, NJ, USA, Princeton Univ. Press, 440 pp.
  3. Ostianu, NM. 1974. Step-fibred spaces, Tr. Geom. Sem. 5, Moscow. (VINITI), 259-309.
  4. Pontryagin, LS. 1962. Characteristic classes of differentiable manifolds, Trans. Amer. Math. Soc., 7: 279-331.
  5. Poor, WA. 1981. Differential Geometric Structures, New York, McGraw-Hill, 352 pp.
  6. Salimov, AA. 2013. Tensor Operators and Their applications, Nova Sci. Publ., New York, 186 pp.
  7. Salimov, AA., Çayır, H. 2013. Some Notes On Almost Paracontact Structures, C. R. de 1’ Aced. Bulg. Des Sci., 66(3): 331-338.
  8. Steenrod, N. 1951. The Topology of Fibre Bundles, Princeton, NJ, USA, Princeton Univ. Press, 224 pp.
  9. Yano, K., Ishihara, S. 1973. Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 419 pp.
  10. Yıldırım, F. 2015. On a Special Class of Semi-Cotangent Bundle, Proc. of the Inst. Math. Mech., 41(1): 25-38.
  11. Yıldırım, F., Salimov, AA. 2014. Semi-cotangent bundle and problems of lifts, Turk. J. Math., 38: 325-339.
  12. Salimov, AA. 2013. Tensor Operators and Their applications, Nova Sci. Publ., New York, 186 pp.