Geodesic
Extendability of local isometry groups
Sbornik. Mathematics, Tome 63 (1989) no. 1, pp. 11-21 
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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Voir la notice de l'article provenant de la source Math-Net.Ru

A Riemannian manifold with a prescribed isometry group acting on it is constructed. Bibliography: 6 titles.

[1] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl

[2] Mostow G. D., “Extensibility of local Lie groups of transformations and groups on surfaces”, Ann. Math., 52 (1950), 606–636 | DOI | MR | Zbl

[3] Kobayasi Sh., Nomidzu K., Osnovaniya differentsialnoi geometrii, T. I, Nauka, M., 1981

[4] Smith G. H., “Analitic extentions of riemannian manifolds”, Bull. Austral. Math. Soc., 18:1 (1978), 147–148 | DOI

[5] Popov V. A., “Analiticheskoe prodolzhenie lokalno zadannykh rimanovykh mnogoobrazii”, Matem. zametki, 36:4 (1984), 559–570 | MR | Zbl

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