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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 2, Pages 80–83
DOI: https://doi.org/10.4213/faa195 (Mi faa195) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Homogeneous Nondegenerate Hypersurfaces in C3 with Two-Dimensional Isotropy Groups

A. V. Loboda

Voronezh State Academy of Building and Architecture
Full-text PDF (130 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa195
Abstract: We construct a complete list of nonspherical real hypersurfaces in C3 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.
Received: 16.01.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 2, Pages 151–153
DOI: https://doi.org/10.1023/A:1015678825587
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: A. V. Loboda, “Homogeneous Nondegenerate Hypersurfaces in C3 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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  • https://www.mathnet.ru/eng/faa195
  • https://doi.org/10.4213/faa195
  • https://www.mathnet.ru/eng/faa/v36/i2/p80
    • This publication is cited in the following 2 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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