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

页码：209 / 219

页数：11