Article

On the geometry of orbits of killing vector fields

Abdigappar NarmanovUzbekistan National University, Tashkent, UzbekistanS. S. SaitovaUzbekistan National University, Tashkent, Uzbekistan

Differential Equationsjournal2014en

ABI

Abstract

We study the geometry of orbits of a family of Killing vector fields. We show that the orbits are integral submanifolds of the distribution generated by the smallest Lie algebra containing this family of Killing vector fields.

Topics

Geometric Analysis and Curvature Flows Advanced Differential Equations and Dynamical Systems Advanced Differential Geometry Research

Identifiers

DOI: 10.1134/s0012266114120027

Citations and references

Cited by 10 9 references

Metrics — AkademScholar · Coming soon