Tensor fields of type (0, 2) on the tangent bundle of a Riemannian manifold

被引：3
|
作者：
Calvo, MD [1 ]
Keilhauer, GGR [1 ]
机构：
[1] Univ Buenos Aires, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
来源：
GEOMETRIAE DEDICATA | 1998年 / 71卷 / 02期
关键词：
connection map; tangent bundle; tensor field;
D O I：
10.1023/A:1005084210109
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
To any (0, 2)-tensor held on the tangent bundle of a Riemannian manifold, we associate a global matrix function. Based on this fact, natural tensor fields are defined and characterized, essentially by means of well-known algebraic results. In the symmetric case, this classification coincides with the one given by Kowalski-Sekizawa; in the skew-symmetric one, it does with that obtained by Janyska.
引用
收藏
页码：209 / 219
页数：11
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