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On holomorphic homogeneity of real hypersurfaces of general position in ℂ3

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Abstract

Holomorphically homogeneous strictly pseudoconvex real hypersurfaces of threedimensional 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.

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Authors and Affiliations

  1. Voronezh State University, Universitetskaya pl. 1, Voronezh, 394018, Russia

    A. V. Atanov & V. I. Sukovykh

  2. Voronezh State Technical University, Moskovskii pr. 14, Voronezh, 394026, Russia

    A. V. Loboda

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  1. A. V. Atanov
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  2. A. V. Loboda
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  3. V. I. Sukovykh
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Correspondence to A. V. Atanov.

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Original Russian Text © A.V. Atanov, A.V. Loboda, V.I. Sukovykh, 2017, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Vol. 298, pp. 20–41.

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Atanov, A.V., Loboda, A.V. & Sukovykh, V.I. On holomorphic homogeneity of real hypersurfaces of general position in ℂ3 . Proc. Steklov Inst. Math. 298, 13–34 (2017). https://doi.org/10.1134/S0081543817060025

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  • DOI: https://doi.org/10.1134/S0081543817060025

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