Geodesic
On the extendability of locally defined isometries of a pseudo-Riemannian manifold
Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 98-101 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\eta$ be a stationary subalgebra of the Lie algebra $\zeta$ of all Killing vector fields on a pseudo-Riemannian analytic manifold, $G$ be a simply connected Lie group generated by the algebra $\zeta $, and $H$ be its subgroup generated by the subalgebra $\eta$. Then the subgroup $H$ is closed in $G$. 
@article{CMA_2015_96_a5,
     author = {V. A. Popov},
     title = {On the extendability of locally defined isometries of a {pseudo-Riemannian} manifold},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {98--101},
     year = {2015},
     volume = {96},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_96_a5/}
}
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V. A. Popov. On the extendability of locally defined isometries of a pseudo-Riemannian manifold. Contemporary Mathematics and Its Applications, Tome 96 (2015), pp. 98-101. http://geodesic.mathdoc.fr/item/CMA_2015_96_a5/