LIE GROUP STRUCTURES ON AUTOMORPHISM GROUPS OF REAL-ANALYTIC CR MANIFOLDS

被引：8

作者：

Lamal, Bernhard ^{[1
]}

Mir, Nordine ^{[2
]}

Zaitsev, Dmitpi ^{[3
]}

机构：

[1] Univ Vienna, Fak Math, A-1090 Vienna, Austria

[2] Univ Rouen, Lab Math Raphael Salem, CNRS, UMR 6085, F-76801 St Etienne, France

[3] Univ Dublin Trinity Coll, Sch Math, Dublin 2, Ireland

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2008年 / 130卷 / 06期

基金：

爱尔兰科学基金会; 奥地利科学基金会;

关键词：

D O I：

10.1353/ajm.0.0033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given any real-analytic CR manifold M, we provide general conditions on M guaranteeing that the group of all its global real-analytic CR automorphisms Aut(CR) (M) is a Lie group (in an appropriate topology). In particular, we obtain a Lie group structure for Aut(CR) (M) when M is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.

引用

页码：1709 / 1726

页数：18

共 23 条

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