ON KILLING VECTOR FIELDS ON A TANGENT BUNDLE WITH g- NATURAL METRIC. PART II

被引：0
|
作者：
Ewert-Krzemieniewski, Stanislaw [1 ]
机构：
[1] West Pomeranian Univ Technol Szczecin, Sch Math, Al Piastow 17, PL-70310 Szczecin, Poland
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2015年 / 8卷 / 01期
关键词：
Riemannian manifold; tangent bundle; g - natural metric; Killing vector field; non-degenerate metric;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The tangent bundle of a Riemannian manifold (M, g) with non-degenerate g- natural metric G that admits a Killing vector field decomposes into four classes. Properties of these classes are investigated. A complete structure of the Lie algebra of Killing vector fields for some subclasses is given.
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页码：53 / 76
页数：24
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