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This article is cited in 2 scientific papers (total in 2 papers)
On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces
A. S. Labovskii
M. V. Lomonosov Moscow State University
Abstract:
In this paper we study the dependence of the local geometry of real-analytic hypersurfaces in $\mathbb C^n$ on the dimension of the group of biholomorphic automorphisms of this surface. We also classify the hypersurfaces in terms of this group. We present some examples showing that the classes of the given construction are not empty. We find a new formulation of the Freeman theorem on the so-called straightening of a real-analytic $\operatorname{CR}$-submanifold in $\mathbb C^n$ with degenerate Levi form of constant rank.
DOI:
https://doi.org/10.4213/mzm1509
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English version:
Mathematical Notes, 1997, 61:3, 287–294
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UDC:
517
Received: 15.04.1995
Citation:
A. S. Labovskii, “On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces”, Mat. Zametki, 61:3 (1997), 349–358; Math. Notes, 61:3 (1997), 287–294
Citation in format AMSBIB
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\yr 1997
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\jour Math. Notes
\yr 1997
\vol 61
\issue 3
\pages 287--294
\crossref{https://doi.org/10.1007/BF02355410}
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http://mi.mathnet.ru/eng/mz1509https://doi.org/10.4213/mzm1509 http://mi.mathnet.ru/eng/mz/v61/i3/p349
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This publication is cited in the following articles:
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V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41
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Beloshapka V.K., “Cr-Manifolds of Finite Bloom-Graham Type: the Model Surface Method”, Russ. J. Math. Phys., 27:2 (2020), 155–174
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