This article is cited 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.

UDC: 517.55

Received: 16.01.2001

DOI: 10.4213/faa195

 English version: Functional Analysis and Its Applications, 2002, 36:2, 151–153

Bibliographic databases:

• 
• 
• 
• 
•