ON THE CURVATURE OF INVARIANT KROPINA METRICS

Year 2011, Volume: 4 Issue: 2 , 136 - 140 , 30.10.2011

Hamid Reza Salimi Moghaddam

https://izlik.org/JA25AH46JY

Abstract

Keywords

invariant metric , flag curvature , (α β)−metric , Kropina metric , homogeneous space , Lie group

References

• [1] Bao, D., Chern, S. S. and Shen, Z., An Introduction to Riemann-Finsler Geometry, Berlin, Springer, 2000.
• [2] Esrafilian, E. and Salimi Moghaddam, H. R., Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds, J. Phys. A: Math. Gen., 39(2006), 3319-3324.
• [3] Deng, S. and Hou, Z., Invariant Randers Metrics on Homogeneous Riemannian Manifolds, J. Phys. A: Math. Gen., 37(2004), 4353-4360.
• [4] Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry, Volume 2. Interscience Publishers, John Wiley& Sons, 1969.
• [5] Matsumoto, M., Theory of Finsler spaces with (α, β)−metric, Rep. Math. Phys., 31(1992), 43-83.
• [6] Püttmann, T., Optimal Pinching Constants of Odd Dimensional Homogeneous Spaces, In- vent. Math., 138(1999), 631-684.
• [7] Salimi Moghaddam, H. R., On the flag curvature of invariant Randers metrics, Math. Phys. Anal. Geom., 11(2008), 1-9.
• [8] Salimi Moghaddam, H. R., Flag curvature of invariant (α, β)-metrics of type (α+β)^2/α , J. Phys. A: Math. Theor. 41(2008).
• [9] Shen, Z., Lectures on Finsler Geometry, World Scientific, 2001.