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Matematicheskie Zametki, 2013, Volume 94, Issue 2, Pages 246–265
DOI: https://doi.org/10.4213/mzm9207 (Mi mzm9207) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Affine-Homogeneous Real Hypersurfaces of Tube Type in $\mathbb{C}^{3}$

T. T. D. Nguen

Voronezh State Academy of Building and Architecture
Full-text PDF (527 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm9207
Abstract: A general approach to describing affine-homogeneous hypersurfaces in the space $\mathbb C^3$ is proposed. In the 2-dimensional strictly pseudoconvex (SPC) case, within the framework of such an approach, the classification problem is solved for three separate classes constituting the whole set of manifolds under consideration. One of these is the class of surfaces of tube type.
Keywords: affine-homogeneous hypersurface of tube type, Lie algebra, 5-dimensional algebra, affine vector field.
Received: 19.07.2011
Revised: 21.09.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 2, Pages 238–254
DOI: https://doi.org/10.1134/S0001434613070249
Bibliographic databases:
Document Type: Article
UDC: 517.5+514+512
Language: Russian
Citation: T. T. D. Nguen, “Affine-Homogeneous Real Hypersurfaces of Tube Type in $\mathbb{C}^{3}$”, Mat. Zametki, 94:2 (2013), 246–265; Math. Notes, 94:2 (2013), 238–254
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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