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

Hamid Reza Salimi Moghaddam

Abstract

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.

ON THE CURVATURE OF INVARIANT KROPINA METRICS

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

Hamid Reza Salimi Moghaddam

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.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Hamid Reza Salimi Moghaddam This is me

Publication Date October 30, 2011
Published in Issue Year 2011 Volume: 4 Issue: 2

Cite

APA Moghaddam, H. R. S. (2011). ON THE CURVATURE OF INVARIANT KROPINA METRICS. International Electronic Journal of Geometry, 4(2), 136-140.
AMA Moghaddam HRS. ON THE CURVATURE OF INVARIANT KROPINA METRICS. Int. Electron. J. Geom. October 2011;4(2):136-140.
Chicago Moghaddam, Hamid Reza Salimi. “ON THE CURVATURE OF INVARIANT KROPINA METRICS”. International Electronic Journal of Geometry 4, no. 2 (October 2011): 136-40.
EndNote Moghaddam HRS (October 1, 2011) ON THE CURVATURE OF INVARIANT KROPINA METRICS. International Electronic Journal of Geometry 4 2 136–140.
IEEE H. R. S. Moghaddam, “ON THE CURVATURE OF INVARIANT KROPINA METRICS”, Int. Electron. J. Geom., vol. 4, no. 2, pp. 136–140, 2011.
ISNAD Moghaddam, Hamid Reza Salimi. “ON THE CURVATURE OF INVARIANT KROPINA METRICS”. International Electronic Journal of Geometry 4/2 (October 2011), 136-140.
JAMA Moghaddam HRS. ON THE CURVATURE OF INVARIANT KROPINA METRICS. Int. Electron. J. Geom. 2011;4:136–140.
MLA Moghaddam, Hamid Reza Salimi. “ON THE CURVATURE OF INVARIANT KROPINA METRICS”. International Electronic Journal of Geometry, vol. 4, no. 2, 2011, pp. 136-40.
Vancouver Moghaddam HRS. ON THE CURVATURE OF INVARIANT KROPINA METRICS. Int. Electron. J. Geom. 2011;4(2):136-40.