|
This article is cited in 1 scientific paper (total in 1 paper)
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
 Full text:
PDF file (222 kB)
References:
PDF file
HTML file
English version:
Mathematical Notes, 1997, 61:3, 287–294
Bibliographic databases:
  
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
\Bibitem{Lab97}
\by A.~S.~Labovskii
\paper On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces
\jour Mat. Zametki
\yr 1997
\vol 61
\issue 3
\pages 349--358
\mathnet{http://mi.mathnet.ru/mz1509}
\crossref{https://doi.org/10.4213/mzm1509}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1619747}
\zmath{https://zbmath.org/?q=an:0927.32026}
\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 3
\pages 287--294
\crossref{https://doi.org/10.1007/BF02355410}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1997XR25700004}
Linking options:
http://mi.mathnet.ru/eng/mz1509https://doi.org/10.4213/mzm1509 http://mi.mathnet.ru/eng/mz/v61/i3/p349
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41
  
|
| Number of views: |
| This page: | 236 | | Full text: | 96 | | References: | 34 | | First page: | 1 |
|
Terms of Use