Dergiler / International Electronic Journal of Geometry / 2013 / Volume: 6 Issue: 2

GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES

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Yayın Tarihi
2013-10-30
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Parhızkar, M., Moghaddam, H. R. S. (2013). GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. International Electronic Journal of Geometry, Volume: 6 Issue: 2. https://ajindex.com/articles/1411297

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Kaynakça (13)

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  4. Bao, D., Chern, S. S. and Shen, Z., An Introduction to Riemann-Finsler Geometry, Springer, Berlin, 2000.
  5. Chern, S. S. and Shen, Z., Riemann-Finsler Geometry, World Scientific, Nankai Tracts in Mathematics, Vol. 6, 2005.
  6. Deng, S. and Hou, Z., Invariant Randers Metrics on Homogeneous Riemannian Manifolds, J. Phys. A: Math. Gen., 37(2004), 4353-4360.
  7. Kowalski, O. and Vanhecke, L., Riemannian manifolds with homogeneous geodesics, Boll. Unione. Mat. Ital., 5(1991), 189246.
  8. Latifi, D., Homogeneous geodesics in homogeneous Finsler spaces, J. Geom. Phys., 57(2007), 1421-1433.
  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.
  10. Latifi, D., Bi-invariant Randers metrics on Lie groups, Publ. Math. Debrecen, 76(2010), no. 1-2, 219-226.
  11. Matsumoto, M., Theory of Finsler spaces with (α, β)−metric, Rep. Math. Phys., 31(1992), 43-83.
  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).
  13. Shen, Z., Lectures on Finsler Geometry, World Scienti c, 2001.