Email this article On the Extendability of Locally Defined Isometries of a Pseudo-Riemannian Manifold
- Authors: Popov V.A.1
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Affiliations:
- Financial University under the Government of the Russian Federation
- Issue: Vol 217, No 5 (2016)
- Pages: 624-627
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238115
- DOI: https://doi.org/10.1007/s10958-016-2994-8
- ID: 238115
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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.
About the authors
V. A. Popov
Financial University under the Government of the Russian Federation
Author for correspondence.
Email: vlapopov@gmail.com
Russian Federation, Moscow
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