Geodesic
Real-analytic generating manifolds of codimension~$2$ in~$\mathbf C^4$ and their biholomorphic mappings
Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 295-315.

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This article concerns the study of six-dimensional surfaces in complex space $\mathbf C^4$. We present a normal form for the defining equation of a real-analytic manifold whose Levi form is positive definite. Bibliography: 11 titles. 
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A. V. Loboda. Real-analytic generating manifolds of codimension~$2$ in~$\mathbf C^4$ and their biholomorphic mappings. Izvestiya. Mathematics , Tome 33 (1989) no. 2, pp. 295-315. http://geodesic.mathdoc.fr/item/IM2_1989_33_2_a3/

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

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

[3] Kruzhilin N. G., Loboda A. V., “Linearizatsiya lokalnykh avtomorfizmov psevdovypuklykh poverkhnostei”, Dokl. AN SSSR, 271:2 (1983), 280–282 | MR | Zbl

[4] Loboda A. V., O spetsialnykh formakh uravneniya psevdovypukloi poverkhnosti, 1-ya nauchnaya konferentsiya Volgogradskogo universiteta, dep.v VINITI No 3254-84., Volgograd, 1983

[5] Loboda A. V., “O golomorfnykh otobrazheniyakh veschestvennykh podmnogoobrazii v kompleksnykh prostranstvakh”, Tezisy Vsesoyuznoi konf. po kompleksnomu analizu, Tashkent, 1985, 63

[6] Ezhov V. V., “O linearizatsii avtomorfizmov veschestvenno-analiticheskoi giperpoverkhnosti”, Izv. AN SSSR. Ser. matem., 49:4 (1985), 731–765 | MR | Zbl

[7] Ivashkovich S. M., “Prodolzhenie lokalno bigolomorfnykh otobrazhenii oblastei i kompleksnoe proektivnoe prostranstvo”, Izv. AN SSSR. Ser. matem., 47:1 (1983), 197–206 | MR | Zbl

[8] 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

[9] Vitushkin A. G., “Veschestvenno-analiticheskie giperpoverkhnosti kompleksnykh mnogoobrazii”, Uspekhi matem. nauk, 40:2(242) (1985), 3–31 | MR | Zbl

[10] Tumanov A. E., Khenkin G. M., “Lokalnaya kharakterizatsiya golomorfnykh avtomorfizmov oblastei Zigelya”, Funkts. analiz i ego prilozh., 17:4 (1983), 49–61 | MR | Zbl

[11] Moser J. K., Webster S. M., “Normal forms for real surfaces in $\mathbf{C}^2$ near complex tangents and hyperbolic surface transformations”, Acta Math., 150 (1983), 255–296 | DOI | MR | Zbl