On the Extendability of Locally Defined Isometries of a Pseudo-Riemannian Manifold


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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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V. A. Popov

Financial University under the Government of the Russian Federation

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Email: vlapopov@gmail.com
Russian Federation, Moscow

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