g-Natural Metrics of Constant Sectional Curvature on Tangent Bundles
Yıl 2009,
Cilt: 2 Sayı: 1, 74 - 94, 30.04.2009
S. Degla
J.p. Ezin
L. Todjihounde
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
S. Degla
J.p. Ezin
L. Todjihounde
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.