On the geometry of orbits of killing vector fields

On the geometry of orbits of killing vector fields

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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Veröffentlicht in:Differential equations 2014-12, Vol.50 (12), p.1584-1591
Hauptverfasser: Narmanov, A. Ya, Saitova, S. S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Difference and Functional Equations
Differential equations
Geometry
Mathematical models
Mathematics
Mathematics and Statistics
Orbits
Ordinary Differential Equations
Partial Differential Equations
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266114120027