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2019 On the Geometry of Orbits of Conformal Vector Fields
Abdigappar Narmanov, Eldor Rajabov
J. Geom. Symmetry Phys. 51(none): 29-39 (2019). DOI: 10.7546/jgsp-51-2019-29-39

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.

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

Information

Published: 2019
First available in Project Euclid: 26 April 2019

zbMATH: 1427.37016
MathSciNet: MR3932491
Digital Object Identifier: 10.7546/jgsp-51-2019-29-39

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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