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g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles

Yıl 2009, Cilt: 2 Sayı: 1, 74 - 94, 30.04.2009

Öz

Kaynakça

  • [1] Abbassi, K.M.T and Sarih, M., On natural metrics on tangent bundles of Riemannian manifolds, Arch. Math Brno 41(2005), no 1, 71-92.
  • [2] Abbassi, K.M.T. and Sarih, M., On some hereditary properties of Riemannian g-natural metrics on tangent bundles of Riemannian manifolds, Di®er. Geom. Appl., 22(2005), no 1, 19-47.
  • [3] Abbassi, K.M.T and Sarih, M., On Riemannian g-natural metrics of the form a:gs + b:gh + c:gv on the tangent bundle of a Riemannian manifold (M; g), Mediter. J. Math., 2(2005), no 1, 19-45.
  • [4] Cordero, L.A., Dodson, C.T.J., and de Leon, M., Di®erential geometry of frame bundles, Kluwer Academic Publishers, 1989 .
  • [5] Dombroski, P., On the geometry of the tangent Bundle, J. Reine Angew. Math., 210(1962), 73-88.
  • [6] Kolar, I.; Michor, P.W. and Slovak, J., Natural operations in differential geometry, Springer-Verlag, Berlin, 1993.
  • [7] Kowalski, O. and Sekizawa, M., Natural transformations of Riemannian metrics on manifolds to metrics on the tangent bundles{a classification, Bull. Tokyo Gakugei Univ. 40(1988), no 4, 1-19.
  • [8] Sasaki, S. On the differential geometry of the tangent bundles of Riemannian manifolds, Tohoku Math. J., 10(1958), no 3, 338-354.
  • [9] Yano, K. and Ishihara, S., Tangent and cotangent bundles, Differential Geometry, Marcel Dekker Inc., New York, 1973.
Yıl 2009, Cilt: 2 Sayı: 1, 74 - 94, 30.04.2009

Öz

Kaynakça

  • [1] Abbassi, K.M.T and Sarih, M., On natural metrics on tangent bundles of Riemannian manifolds, Arch. Math Brno 41(2005), no 1, 71-92.
  • [2] Abbassi, K.M.T. and Sarih, M., On some hereditary properties of Riemannian g-natural metrics on tangent bundles of Riemannian manifolds, Di®er. Geom. Appl., 22(2005), no 1, 19-47.
  • [3] Abbassi, K.M.T and Sarih, M., On Riemannian g-natural metrics of the form a:gs + b:gh + c:gv on the tangent bundle of a Riemannian manifold (M; g), Mediter. J. Math., 2(2005), no 1, 19-45.
  • [4] Cordero, L.A., Dodson, C.T.J., and de Leon, M., Di®erential geometry of frame bundles, Kluwer Academic Publishers, 1989 .
  • [5] Dombroski, P., On the geometry of the tangent Bundle, J. Reine Angew. Math., 210(1962), 73-88.
  • [6] Kolar, I.; Michor, P.W. and Slovak, J., Natural operations in differential geometry, Springer-Verlag, Berlin, 1993.
  • [7] Kowalski, O. and Sekizawa, M., Natural transformations of Riemannian metrics on manifolds to metrics on the tangent bundles{a classification, Bull. Tokyo Gakugei Univ. 40(1988), no 4, 1-19.
  • [8] Sasaki, S. On the differential geometry of the tangent bundles of Riemannian manifolds, Tohoku Math. J., 10(1958), no 3, 338-354.
  • [9] Yano, K. and Ishihara, S., Tangent and cotangent bundles, Differential Geometry, Marcel Dekker Inc., New York, 1973.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

S. Degla Bu kişi benim

J.p. Ezin Bu kişi benim

L. Todjihounde

Yayımlanma Tarihi 30 Nisan 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 1

Kaynak Göster

APA Degla, S., Ezin, J., & Todjihounde, L. (2009). g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles. International Electronic Journal of Geometry, 2(1), 74-94.
AMA Degla S, Ezin J, Todjihounde L. g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles. Int. Electron. J. Geom. Nisan 2009;2(1):74-94.
Chicago Degla, S., J.p. Ezin, ve L. Todjihounde. “G-Natural Metrics of Constant Sectional Curvature on Tangent Bundles”. International Electronic Journal of Geometry 2, sy. 1 (Nisan 2009): 74-94.
EndNote Degla S, Ezin J, Todjihounde L (01 Nisan 2009) g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles. International Electronic Journal of Geometry 2 1 74–94.
IEEE S. Degla, J. Ezin, ve L. Todjihounde, “g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles”, Int. Electron. J. Geom., c. 2, sy. 1, ss. 74–94, 2009.
ISNAD Degla, S. vd. “G-Natural Metrics of Constant Sectional Curvature on Tangent Bundles”. International Electronic Journal of Geometry 2/1 (Nisan 2009), 74-94.
JAMA Degla S, Ezin J, Todjihounde L. g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles. Int. Electron. J. Geom. 2009;2:74–94.
MLA Degla, S. vd. “G-Natural Metrics of Constant Sectional Curvature on Tangent Bundles”. International Electronic Journal of Geometry, c. 2, sy. 1, 2009, ss. 74-94.
Vancouver Degla S, Ezin J, Todjihounde L. g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles. Int. Electron. J. Geom. 2009;2(1):74-9.