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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022 Volume 215, Pages 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

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.

UDC: 514.76

MSC: 58K45, 17B66, 32S65

DOI: 10.36535/0233-6723-2022-215-32-39


© Steklov Math. Inst. of RAS, 2025