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On the geometry of orbits of killing vector fields

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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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Authors and Affiliations

  1. Uzbekistan National University, Tashkent, Uzbekistan

    A. Ya. Narmanov & S. S. Saitova

Authors
  1. A. Ya. Narmanov
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  2. S. S. Saitova
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Correspondence to A. Ya. Narmanov.

Additional information

Original Russian Text © A.Ya. Narmanov, S.S. Saitova, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 12, pp. 1582–1589.

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Narmanov, A.Y., Saitova, S.S. On the geometry of orbits of killing vector fields. Diff Equat 50, 1584–1591 (2014). https://doi.org/10.1134/S0012266114120027

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  • DOI: https://doi.org/10.1134/S0012266114120027

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