In a Transitive Group of Conformal Transformations, Any Normal Subgroup with Orbit of Dimension $k>1$ is Inessential
Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 317-320.

Voir la notice de l'article provenant de la source Math-Net.Ru

Mots-clés : conformal transformation group, essential transformation group, isotropic direction, nonisotropic orbit.
Keywords: Riemannian manifold, Lorentzian manifold
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M. N. Podoksenov. In a Transitive Group of Conformal Transformations, Any Normal Subgroup with Orbit of Dimension $k>1$ is Inessential. Matematičeskie zametki, Tome 82 (2007) no. 2, pp. 317-320. http://geodesic.mathdoc.fr/item/MZM_2007_82_2_a16/

[1] D. V. Alekseevskii, Matem. sb., 89:2 (1972), 280–296 | MR | Zbl

[2] D. Alekseevski, Ann. Global Anal. Geom., 3:1 (1985), 59–84 | DOI | MR | Zbl

[3] M. N. Podoksenov, Sib. matem. zhurn., 30:5 (1989), 135–137 | MR | Zbl

[4] M. N. Podoksenov, Sib. matem. zhurn., 34:2 (1993), 146–153 | MR | Zbl

[5] C. Barbance, C. R. Acad. Sci. Paris. Ser. A, 291:5 (1980), 347–350 | MR | Zbl

[6] M. N. Podoksenov, Differential Geometry and Applications, Proceedings of the 6th international conference (Brno, Czech Republic, August 28–September 1, 1995), 1996, 61–64 | MR | Zbl

[7] M. N. Podoksenov, Vestn. Vitebskogo gos. un-ta, 2001, no. 4(22), 75–77

[8] D. Gromol, V. Klingenberg, V. Meier, Rimanova geometriya v tselom, Mir, M., 1971 | MR | Zbl