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.
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页码：133 / 151
页数：19
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