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.

引用

页码：53 / 76

页数：24

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