This article is cited 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

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.

UDC: 517.5+514+512

Received: 19.07.2011
Revised: 21.09.2012

DOI: 10.4213/mzm9207

 English version: Mathematical Notes, 2013, 94:2, 238–254

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