Geodesic
Linearizability of automorphisms of non-spherical surfaces
Izvestiya. Mathematics, Tome 21 (1983) no. 1, pp. 171-186 
A. V. Loboda. Linearizability of automorphisms of non-spherical surfaces. Izvestiya. Mathematics, Tome 21 (1983) no. 1, pp. 171-186. http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a6/
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     title = {Linearizability of automorphisms of non-spherical surfaces},
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper local automorphisms of real analytic hypersurfaces in complex spaces are studied. It is proved that for a strictly pseudoconvex hypersurface not biholomorphically equivalent to a sphere every local automorphism is a linear mapping in special coordinates. The equation of the surface has the Moser normal form in these coordinates. Bibliography: 8 titles.

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[3] Loboda A. V., “O lokalnykh avtomorfizmakh veschestvenno-analiticheskikh giperpoverkhnostei”, Izv. AN SSSR. Ser. matem., 45:3 (1981), 620–645 | MR | Zbl

[4] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR

[5] Webster S. M., “On the Moser normal form at a nonumbilic point”, Math. Ann., 233:2 (1978), 97–102 | DOI | MR | Zbl

[6] Burns D., Shneider S., Wells R. O. Jr., “Deformations of strictly pseudoconvex domains”, Invent. Math., 46:3 (1978), 237–253 | DOI | MR | Zbl

[7] Beloshapka V., K., Vitushkin A. G., “Otsenki radiusa skhodimosti stepennykh ryadov, zadayuschikh otobrazheniya analiticheskikh giperpoverkhnostei”, Izv. AN SSSR. Ser. matem., 45:5 (1981), 962–984 | MR | Zbl

[8] Vitushkin A. G., “Golomorfnoe prodolzhenie otobrazhenii kompaktnykh giperpoverkhnostei”, Izv. AN SSSR. Ser. matem., 46:1 (1982), 28–35 | MR