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Funktsional. Anal. i Prilozhen., 2002, Volume 36, Issue 2, Pages 80–83 (Mi faa195)  

This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Homogeneous Nondegenerate Hypersurfaces in $\mathbb{C}^3$ with Two-Dimensional Isotropy Groups

A. V. Loboda

Voronezh State Academy of Building and Architecture

Abstract: We construct a complete list of nonspherical real hypersurfaces in $\mathbb{C}^3$ that are Levi nondegenerate and admit seven-dimensional transitive groups of local holomorphic transformations. The description splits into two cases corresponding to strictly pseudoconvex surfaces and surfaces with nondegenerate sign-indefinite Levi form.

Keywords: homogeneous manifold, normal form of equation, vector field, isotropy group, Levi form

DOI: https://doi.org/10.4213/faa195

Full text: PDF file (130 kB)
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English version:
Functional Analysis and Its Applications, 2002, 36:2, 151–153

Bibliographic databases:

UDC: 517.55
Received: 16.01.2001

Citation: A. V. Loboda, “Homogeneous Nondegenerate Hypersurfaces in $\mathbb{C}^3$ with Two-Dimensional Isotropy Groups”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 80–83; Funct. Anal. Appl., 36:2 (2002), 151–153

Citation in format AMSBIB
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\paper Homogeneous Nondegenerate Hypersurfaces in $\mathbb{C}^3$ with Two-Dimensional Isotropy Groups
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    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:
    1. Fels, G, “Classification of Levi degenerate homogeneous CR-manifolds in dimension 5”, Acta Mathematica, 201:1 (2008), 1  crossref  mathscinet  zmath  isi  elib  scopus
    2. Isaev, AV, “On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with high-dimensional stability group”, Pacific Journal of Mathematics, 235:2 (2008), 235  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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