Affinely homogeneous real hypersurfaces of C2

被引：0

作者：

Loboda, A. V. ^{[1
]}

机构：

[1] Voronezh State Univ Architecture & Construct, Voronezh, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2013年 / 47卷 / 02期

关键词：

complex space; affine transformation; homogeneous submanifold; vector field; Lie algebra; Levi form; canonical equation of a hypersurface;

D O I：

10.1007/s10688-013-0016-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete affine classification of germs of affinely homogeneous real hypersurfaces of a",(2) is presented. The two main tools used in the classification are canonical local equations of manifolds and the theory of Lie algebras. The classification obtained in the paper is shown to be different from the well-known description of holomorphically homogeneous real hypersurfaces of a",(2) due to A parts per thousand. Cartan (1932).

引用

页码：113 / 126

页数：14

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