Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2013, Cilt: 6 Sayı: 2, 39 - 44, 30.10.2013

M. Parhızkar H. R. Salimi Moghaddam

Öz

Kaynakça

  • [1] An, H. and Deng, S., Invariant (α, β)-metrics on homogeneous manifolds, Monatsh. Math., 154(2008), 89-102.
  • [2] Asanov, G. S., Finsleroid space with angle and scalar product, Publ. Math. Debrecen, 67(2005), 20952.
  • [3] Asanov, G. S., Finsleroid Finsler spaces of positive-definite and relativistic type, Rep. Math. Phys., 58(2006), 275-300.
  • [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.

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

Yıl 2013, Cilt: 6 Sayı: 2, 39 - 44, 30.10.2013

M. Parhızkar H. R. Salimi Moghaddam

Öz


Anahtar Kelimeler

homogeneous space invariant Riemannian metric invariant (α ¸ β)- metric

Kaynakça

  • [1] An, H. and Deng, S., Invariant (α, β)-metrics on homogeneous manifolds, Monatsh. Math., 154(2008), 89-102.
  • [2] Asanov, G. S., Finsleroid space with angle and scalar product, Publ. Math. Debrecen, 67(2005), 20952.
  • [3] Asanov, G. S., Finsleroid Finsler spaces of positive-definite and relativistic type, Rep. Math. Phys., 58(2006), 275-300.
  • [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.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

M. Parhızkar Bu kişi benim

H. R. Salimi Moghaddam Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

APA Parhızkar, M., & Moghaddam, H. R. S. (2013). GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. International Electronic Journal of Geometry, 6(2), 39-44.
AMA Parhızkar M, Moghaddam HRS. GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. Int. Electron. J. Geom. Ekim 2013;6(2):39-44.
Chicago Parhızkar, M., ve H. R. Salimi Moghaddam. “GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES”. International Electronic Journal of Geometry 6, sy. 2 (Ekim 2013): 39-44.
EndNote Parhızkar M, Moghaddam HRS (01 Ekim 2013) GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. International Electronic Journal of Geometry 6 2 39–44.
IEEE M. Parhızkar ve H. R. S. Moghaddam, “GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES”, Int. Electron. J. Geom., c. 6, sy. 2, ss. 39–44, 2013.
ISNAD Parhızkar, M. - Moghaddam, H. R. Salimi. “GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES”. International Electronic Journal of Geometry 6/2 (Ekim 2013), 39-44.
JAMA Parhızkar M, Moghaddam HRS. GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. Int. Electron. J. Geom. 2013;6:39–44.
MLA Parhızkar, M. ve H. R. Salimi Moghaddam. “GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES”. International Electronic Journal of Geometry, c. 6, sy. 2, 2013, ss. 39-44.
Vancouver Parhızkar M, Moghaddam HRS. GEODESIC VECTOR FIELDS OF INVARIANT (α, β)-METRICS ON HOMOGENEOUS SPACES. Int. Electron. J. Geom. 2013;6(2):39-44.