ON THE GEOMETRY OF ORBITS OF CONFORMAL VECTOR FIELDS

被引：7

作者：

Narmanov, Abdigappar ^{[1
]}

Rajabov, Eldor ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Dept Geometry & Topol, Tashkent 100174, Uzbekistan

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2019年 / 51卷

关键词：

Conformal vector field; conformal transformation; Lie derivative; orbit of vector fields; Riemannian manifold; TRANSFORMATIONS; SYSTEMS;

D O I：

10.7546/jgsp-51-2019-29-39

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Geometry of orbit is a subject of many investigations because it has important role in many branches of mathematics such as dynamical systems,control theory. In this paper it is studied geometry of orbits of conformal vector fields. It is shown that orbits of conformal vector fields are integral submanifolds of completely integrable distributions. Also for Euclidean space it is proven that if all orbits have the same dimension they are closed subsets.

引用

页码：29 / 39

页数：11

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