ON THE GROUP OF REAL ANALYTIC DIFFEOMORPHISMS

被引：0

作者：

Tsuboi, Takashi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2009年 / 42卷 / 04期

关键词：

FOLIATIONS; SIMPLICITY; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the n-dimensional torus, its identity component is a simple group. For U(1) fibered manifolds, for manifolds admitting special semi-free U(1) actions and for 2- or 3-dimensional manifolds with nontrivial U(1) actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.

引用

页码：601 / 651

页数：51

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