This article is cited in 9 papers

Local Description of Homogeneous Real Hypersurfaces of the Two-Dimensional Complex Space in Terms of Their Normal Equations

A. V. Loboda

Voronezh State Academy of Building and Architecture

Abstract: In the paper, a classification of real hypersurfaces of the space $\mathbb{C}^2$ that admit transitive actions of local Lie groups of holomorphic transformations is constructed.
Any nonspherical Levi nondegenerate homogeneous surface is determined by the triple of real coefficients $N^2_{520}$, $N_{440}$, $\operatorname{Im}N_{421}$ of a Moser normal equation. All such surfaces are described by several quadratic curves in the space of above coefficients.

UDC: 517.55

Received: 24.06.1998

DOI: 10.4213/faa293

 English version: Functional Analysis and Its Applications, 2000, 34:2, 106–113

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