Geodesics and killing vector fields on the tangent sphere bundle

被引：3

作者：

Konno, T ^{[1
]}

Tanno, S

机构：

[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

[2] Tokyo Inst Technol, Dept Math, Meguro Ku, Tokyo 1528551, Japan

来源：

NAGOYA MATHEMATICAL JOURNAL | 1998年 / 151卷

关键词：

D O I：

10.1017/S0027763000025186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any Killing vector field on the unit tangent sphere bundle with Sasaki metric of a space of constant curvature kappa not equal 1 is fiber preserving by studying some property of geodesics on the bundle. As a consequence, any Killing vector field on the unit tangent sphere bundle of a space of constant curvature kappa not equal 1 can be extended to a Killing vector field on the tangent bundle.

引用

页码：91 / 97

页数：7

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