Geodesic
Extendability of local isometry groups
Sbornik. Mathematics, Tome 63 (1989) no. 1, pp. 11-21
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A Riemannian manifold with a prescribed isometry group acting on it is constructed. Bibliography: 6 titles. 
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     author = {V. A. Popov},
     title = {Extendability of local isometry groups},
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V. A. Popov. Extendability of local isometry groups. Sbornik. Mathematics, Tome 63 (1989) no. 1, pp. 11-21. http://geodesic.mathdoc.fr/item/SM_1989_63_1_a1/

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[6] Maltsev A. I., “On the theory of Lie groups in the large”, Matem. sb., 16(58) (1945), 163–190 | MR | Zbl