A Kaehler structure on the nonzero tangent bundle of a space form

被引:17
作者
Oproiu, V
Papaghiuc, N
机构
[1] Univ Al I Cuza, Fac Math, Iasi, Romania
[2] Tech Univ, Dept Math, Iasi, Romania
关键词
tangent bundle; Kaehler manifold;
D O I
10.1016/S0926-2245(99)00013-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We obtain a Kaehler structure on the bundle of nonzero tangent vectors to a Riemannian manifold of constant positive sectional curvature. This Kaehler structure is determined by a Lagrangian depending on the density energy only.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 18 条
[1]  
[Anonymous], REND SEM FS U CAGLIA
[2]  
CALABI E, 1979, ANN SCI ECOLE NORM S, V12, P269
[3]  
Dombrowski P., 1962, J REINE ANGEW MATH, V210, P73
[4]  
GHEORGHIEV G, 1979, VARIETATI DIFERENTIA, V2
[5]  
GHEORGHIEV G, 1976, VARIETATI DIFERENTIA, V1
[6]   LAGRANGE GEOMETRY [J].
KERN, J .
ARCHIV DER MATHEMATIK, 1974, 25 (04) :438-443
[7]  
Kobayashi S., 1969, Foundation of differential geometry, VII
[8]  
Kobayashi S., 1963, Foundations of Differential Geometry, VI
[9]  
KOWALSKI O, 1970, J REINE ANGEW MATH, P124
[10]   STRUCTURE OF SYMMETRIC TENSORS OF TYPE-(0,2) AND TENSORS OF TYPE-(1,1) ON TANGENT BUNDLE [J].
MOK, KP ;
PATTERSON, EM ;
WONG, YC .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 234 (01) :253-278