Linearizability of automorphisms of non-spherical surfaces
Izvestiya. Mathematics , Tome 21 (1983) no. 1, pp. 171-186.

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.
@article{IM2_1983_21_1_a6,
     author = {A. V. Loboda},
     title = {Linearizability of automorphisms of non-spherical surfaces},
     journal = {Izvestiya. Mathematics },
     pages = {171--186},
     publisher = {mathdoc},
     volume = {21},
     number = {1},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a6/}
}
TY  - JOUR
AU  - A. V. Loboda
TI  - Linearizability of automorphisms of non-spherical surfaces
JO  - Izvestiya. Mathematics 
PY  - 1983
SP  - 171
EP  - 186
VL  - 21
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a6/
LA  - en
ID  - IM2_1983_21_1_a6
ER  - 
%0 Journal Article
%A A. V. Loboda
%T Linearizability of automorphisms of non-spherical surfaces
%J Izvestiya. Mathematics 
%D 1983
%P 171-186
%V 21
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1983_21_1_a6/
%G en
%F IM2_1983_21_1_a6
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/

[1] Chern S. S., Moser J. K., “Real hypersurfaces in complex manifolds”, Acta Math., 133:3 (1974), 219–271 | DOI | MR

[2] Beloshapka V. K., “O razmernosti grupp avtomorfizmov analiticheskoi giperpoverkhnosti”, Izv. AN SSSR. Ser. matem., 43:2 (1979), 243–266 | MR | Zbl

[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