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

共 20 条

[1] On Killing vector fields on a tangent bundle with g-natural metric Part I
Ewert-Krzemieniewski, Stanislaw
NOTE DI MATEMATICA, 2014, 34 (02): : 107 - 133
[2] ON A CLASS OF SUBMANIFOLDS IN A TANGENT BUNDLE WITH A g-NATURAL METRIC
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COLLOQUIUM MATHEMATICUM, 2017, 150 (01) : 121 - 133
[3] On a Class of Submanifolds in a Tangent Bundle with a g-Natural Metric - Normal lift
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INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2019, 12 (02): : 144 - 156
[4] Totally geodesic submanifolds in tangent bundle with g-natural metric
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[5] Conformal vector fields and geometric solitons on the tangent bundle with the ciconia metric
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[8] The Projective Curvature of the Tangent Bundle with Natural Diagonal Metric
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FILOMAT, 2015, 29 (03) : 401 - 410
[9] Conformal vector fields on tangent bundle of Finsler manifolds
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BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2006, 11 (02): : 28 - 35
[10] Classification of Vector Fields and Soliton Structures on a Tangent Bundle with a Ricci Quarter-Symmetric Metric Connection
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Karakas, Erkan
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2024, 17 (02): : 358 - 377

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