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On the geometry of orbits of killing vector fields

Abdigappar NarmanovUzbekistan National University, Tashkent, UzbekistanS. S. SaitovaUzbekistan National University, Tashkent, Uzbekistan
Differential Equationsjournal2014en

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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.

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