TY  - JOUR
T1  - Prolongations of Golden Structure to Tangent Bundle of Order 2
TT  - Prolongations of Golden Structure to Tangent  Bundle of Order 2
AU  - Özkan, Mustafa
AU  - Çıtlak, Ayşe
AU  - Taylan, Emel
PY  - 2015
DA  - June
JF  - Gazi University Journal of Science
PB  - Gazi University
WT  - DergiPark
SN  - 2147-1762
SP  - 253
EP  - 258
VL  - 28
IS  - 2
LA  - en
AB  - 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$T_2(M)$.
KW  - Golden structure; semi-Riemannian manifold; prolongations; tangent bundle of order two; lift; integrability.
CR  - Ianuş, S., “Sur les structures presque produit des varietes a connection lineaire”, C.R.A.S. Paris, 272, 734-735, (1971).
CR  - Mathai, S., “Prolongations of − structure to tangent bundle of order 2”, Indian J. Pure Appl. Math., 6 (10), 1180-1184, (1975).
CR  - Özdemir, F., Crasmareanu, M., “Geometrical objects associated to a substructure”, Turk. J. Math., 34, 1-12, (2010).
CR  - Özkan, M., “Prolongations of Golden structures to tangent bundles”, Diff. Geom. Dyn. Syst., 16, 227-238, (2014).
CR  - Yano, K., Ishihara, S., “Differential geometry of tangent bundle of order 2”, Kodai Math. Sem. Rep., 20, 318-354, (1968).
CR  - Yano, K., Ishihara, S., Tangent and cotangent bundle, Marcel Dekker Inc., New York, (1973).
UR  - https://dergipark.org.tr/en/pub/gujs/issue//97905
L1  - https://dergipark.org.tr/en/download/article-file/83719
ER  -