TY - JOUR T1 - GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES AU - Parhızkar, M. AU - Moghaddam, H. R. Salimi PY - 2013 DA - October JF - International Electronic Journal of Geometry JO - Int. Electron. J. Geom. PB - Kazım İlarslan WT - DergiPark SN - 1307-5624 SP - 39 EP - 44 VL - 6 IS - 2 LA - en KW - homogeneous space KW - invariant Riemannian metric KW - invariant (α ¸ β)- metric CR - [1] An, H. and Deng, S., Invariant (α, β)-metrics on homogeneous manifolds, Monatsh. Math., 154(2008), 89-102. CR - [2] Asanov, G. S., Finsleroid space with angle and scalar product, Publ. Math. Debrecen, 67(2005), 20952. CR - [3] Asanov, G. S., Finsleroid Finsler spaces of positive-definite and relativistic type, Rep. Math. Phys., 58(2006), 275-300. CR - [4] Bao, D., Chern, S. S. and Shen, Z., An Introduction to Riemann-Finsler Geometry, Springer, Berlin, 2000. CR - [5] Chern, S. S. and Shen, Z., Riemann-Finsler Geometry, World Scientific, Nankai Tracts in Mathematics, Vol. 6, 2005. CR - [6] Deng, S. and Hou, Z., Invariant Randers Metrics on Homogeneous Riemannian Manifolds, J. Phys. A: Math. Gen., 37(2004), 4353-4360. CR - [7] Kowalski, O. and Vanhecke, L., Riemannian manifolds with homogeneous geodesics, Boll. Unione. Mat. Ital., 5(1991), 189246. CR - [8] Latifi, D., Homogeneous geodesics in homogeneous Finsler spaces, J. Geom. Phys., 57(2007), 1421-1433. CR - [9] Latifi D. and Razavi, A., Bi-invariant Finsler Metrics on Lie Groups, Australian Journal of Basic and Applied Sciences, 5(2011), no. 12, 507-511. CR - [10] Latifi, D., Bi-invariant Randers metrics on Lie groups, Publ. Math. Debrecen, 76(2010), no. 1-2, 219-226. CR - [11] Matsumoto, M., Theory of Finsler spaces with (α, β)−metric, Rep. Math. Phys., 31(1992), 43-83. CR - [12] Salimi Moghaddam, H. R., The flag curvature of invariant (α, β)-metrics of type (α+ β )^2/α J. Phys. A: Math. Theor., 41(2008), 275206 (6pp). CR - [13] Shen, Z., Lectures on Finsler Geometry, World Scienti c, 2001. UR - https://dergipark.org.tr/en/pub/iejg/issue//596206 L1 - https://dergipark.org.tr/en/download/article-file/769323 ER -