Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 215, Pages 32–39
DOI: https://doi.org/10.36535/0233-6723-2022-215-32-39 (Mi into1068) 		 
On the geometry of orbits of Killing vector fields

Zh. O. Aslonov

National University of Uzbekistan named after M. Ulugbek, Tashkent
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DOI: https://doi.org/10.36535/0233-6723-2022-215-32-39
Abstract: This paper is a brief review of results in the theory of Killing vector fields defined on Riemannian manifolds of constant and nonnegative curvature.
Keywords: vector field, Killing vector field, orbifold, Lie bracket, foliation, Riemannian foliation.
Funding agency Grant number
SCST of the Republic of Uzbekistan Ф3-2020092531
This work was supported by a grant for fundamental research (project Ф3-2020092531).
Document Type: Article
UDC: 514.76
MSC: 58K45, 17B66, 32S65
Language: Russian
Citation: Zh. O. Aslonov, “On the geometry of orbits of Killing vector fields”, Algebra, Geometry, and Combinatorics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 215, VINITI, Moscow, 2022, 32–39
Citation in format AMSBIB
\Bibitem{Asl22}
\by Zh.~O.~Aslonov
\paper On the geometry of orbits of Killing vector fields
\inbook Algebra, Geometry, and Combinatorics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 215
\pages 32--39
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1068}
\crossref{https://doi.org/10.36535/0233-6723-2022-215-32-39}
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