Abdigappar Narmanov, S. S. Saitova
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.
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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.
Key concepts: Fundamental vector field, Vector field, Killing vector field, Mathematics, Differential geometry, Lie algebra, Geometry, Distribution (mathematics)