Conformal vector fields with respect to the Sasaki metric tensor

被引：1

作者：

Simsir, F. M. ^{[1
]}

Tezer, Cem ^{[2
]}

机构：

[1] Middle East Tech Univ, Northern Crprus Campus,Via Mersin 10, Ankara, Turkey

[2] Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

JOURNAL OF GEOMETRY | 2006年 / 84卷 / 1-2期

关键词：

Conformal vector fields; the Sasaki metric;

D O I：

10.1007/s00022-005-0033-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this article is to characterize conformal vector fields with respect to the Sasaki metric tensor field on the tangent bundle of a Riemannian manifold of dimension at least three. In particular, if the manifold in question is compact, it is found that the only conformal vector fields are Killing vector fields.

引用

页码：133 / 151

页数：19

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