Abstract
Let η be a stationary subalgebra of the Lie algebra ζ of all Killing vector fields on a pseudo-Riemannian analytic manifold, G be a simply connected Lie group generated by the algebra ζ, and H be its subgroup generated by the subalgebra η. Then the subgroup H is closed in G.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 96, Geometry and Analysis, 2015.
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Popov, V.A. On the Extendability of Locally Defined Isometries of a Pseudo-Riemannian Manifold. J Math Sci 217, 624–627 (2016). https://doi.org/10.1007/s10958-016-2994-8
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DOI: https://doi.org/10.1007/s10958-016-2994-8