Prolongations of Golden Structure to Tangent Bundle of Order 2

Year 2015, Volume: 28 Issue: 2, 253 - 258, 22.06.2015

Mustafa Özkan , Ayşe Çıtlak , Emel Taylan

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 $T_2(M)$.

Keywords

Golden structure; semi-Riemannian manifold; prolongations; tangent bundle of order two; lift; integrability.

Prolongations of Golden Structure to Tangent Bundle of Order 2

Abstract

References

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