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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 298, Pages 20–41
DOI: https://doi.org/10.1134/S0371968517030025 (Mi tm3836) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Holomorphic Homogeneity of Real Hypersurfaces of General Position in $\mathbb C^3$

A. V. Atanova, A. V. Lobodab, V. I. Sukovykha

a Voronezh State University, Universitetskaya pl. 1, Voronezh, 394018 Russia
b Voronezh State Technical University, Moskovskii pr. 14, Voronezh, 394026 Russia
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DOI: https://doi.org/10.1134/S0371968517030025
Abstract: Holomorphically homogeneous strictly pseudoconvex real hypersurfaces of three-dimensional complex spaces are studied within the coefficient approach. It is shown that the family of surfaces for which a fourth-degree polynomial in the Moser normal equation has a general form is described by at most 13 real parameters. Examples related to the normal equations of tubes over affine homogeneous bases are given which confirm the results of accompanying computer calculations.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00709a
17-01-00592а
Ministry of Education and Science of the Russian Federation НШ-9110.2016.1
This work was supported in part by the Russian Foundation for Basic Research (project nos. 14-01-00709-a and 17-01-00592-a) and by a grant of the President of the Russian Federation (project no. NSh-9110.2016.1).
Received: February 8, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 298, Pages 13–34
DOI: https://doi.org/10.1134/S0081543817060025
Bibliographic databases:
Document Type: Article
UDC: 517.55+004.94
Language: Russian
Citation: A. V. Atanov, A. V. Loboda, V. I. Sukovykh, “On Holomorphic Homogeneity of Real Hypersurfaces of General Position in $\mathbb C^3$”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 20–41; Proc. Steklov Inst. Math., 298 (2017), 13–34
Citation in format AMSBIB
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\paper On Holomorphic Homogeneity of Real Hypersurfaces of General Position in $\mathbb C^3$
\inbook Complex analysis and its applications
\bookinfo Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 298
\pages 20--41
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 2 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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