Tensor Fields of Type (0, 2) on the Tangent Bundle of a Riemannian Manifold

被引：0
|
作者：
Maria del Carmen Calvo
Guillermo G. R. Keilhauer
机构：
[1] Universidad de Buenos Aires,Departamento de Matemática
[2] Ciudad Universitaria,undefined
来源：
Geometriae Dedicata | 1998年 / 71卷
关键词：
connection map; tangent bundle; tensor field.;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
To any (0, 2)-tensor field 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 Janyška.
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页码：209 / 219
页数：10
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