Journal of Geometry and Symmetry in Physics

On the Geometry of Orbits of Conformal Vector Fields

Abdigappar Narmanov and Eldor Rajabov

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Abstract

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.

Article information

Source
J. Geom. Symmetry Phys., Volume 51 (2019), 29-39.

Dates
First available in Project Euclid: 26 April 2019

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1556244027

Digital Object Identifier
doi:10.7546/jgsp-51-2019-29-39

Mathematical Reviews number (MathSciNet)
MR0

Zentralblatt MATH identifier
0

Citation

Narmanov, Abdigappar; Rajabov, Eldor. On the Geometry of Orbits of Conformal Vector Fields. J. Geom. Symmetry Phys. 51 (2019), 29--39. doi:10.7546/jgsp-51-2019-29-39. https://projecteuclid.org/euclid.jgsp/1556244027


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