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Dergiler / Gazi University Journal of Science / 2015 / Cilt: 28 - Sayı: 2

Prolongations of Golden Structure to Tangent Bundle of Order 2

Mustafa ÖZKAN
Ayşe ÇITLAK
Emel TAYLAN
Sayfa
253–258
Yayın Tarihi
2015-06-22
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we define golden semi-Riemannian metric in $T_2(M)$.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we study 2nd lift of golden structure to tangent bundle of order 2.
📊
Temel Bulgular & Veri:We investigate integrability and parallelism of Gloden structures in $T_2(M)$.
💡
Sonuç & Katkı:Moreover, we define golden semi-Riemannian metric in $T_2(M)$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Golden structure · semi-Riemannian manifold · prolongations

Abstract

In this paper, we study 2nd lift of golden structure to tangent bundle of order 2. We investigate integrability and parallelism of Gloden structures in $T_2(M)$. Moreover, we define golden semi-Riemannian metric in $T_2(M)$.

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Bu Makaleye Atıf Yap

ÖZKAN, M., ÇITLAK, A., TAYLAN, E. (2015). Prolongations of Golden Structure to Tangent Bundle of Order 2. Gazi University Journal of Science, Cilt: 28 - Sayı: 2, 253–258. https://ajindex.com/articles/254920

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Kaynakça (6)

  1. Ianuş, S., “Sur les structures presque produit des varietes a connection lineaire”, C.R.A.S. Paris, 272, 734-735, (1971).
  2. Mathai, S., “Prolongations of − structure to tangent bundle of order 2”, Indian J. Pure Appl. Math., 6 (10), 1180-1184, (1975).
  3. Özdemir, F., Crasmareanu, M., “Geometrical objects associated to a substructure”, Turk. J. Math., 34, 1-12, (2010).
  4. Özkan, M., “Prolongations of Golden structures to tangent bundles”, Diff. Geom. Dyn. Syst., 16, 227-238, (2014).
  5. Yano, K., Ishihara, S., “Differential geometry of tangent bundle of order 2”, Kodai Math. Sem. Rep., 20, 318-354, (1968).
  6. Yano, K., Ishihara, S., Tangent and cotangent bundle, Marcel Dekker Inc., New York, (1973).