FIXED POINTS OF NILPOTENT ACTIONS ON R2

被引：0

作者：

Firmo, Sebastiao ^{[1
]}

Le Calvez, Patrice ^{[2
,3
]}

Ribon, Javier ^{[1
]}

机构：

[1] Univ Fed Fluminense, Inst Matemat & Estat, Campus Gragoata, BR-24210201 Niteroi, RJ, Brazil

[2] Univ Paris, Sorbonne Univ, CNRS, Inst Mathemat & Jussieu Paris Rive Gauche, F-75005 Paris, France

[3] Inst Univ France, Paris, France

来源：

ASTERISQUE | 2020年 / 415期

关键词：

Fixed point; nilpotent group; linking number; rotation number; Thurston-Nielsen decomposition;

D O I：

10.24033/ast.1102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show several results providing global fixed points for nilpotent groups of orientation-preserving C-1 diffeomorphisms of the plane R-2. The main cases are namely groups of diffeomorphisms of the sphere such that infinity is a global fixed point, groups of diffeomorphisms preserving a non-empty compact set and finally groups of diffeomorphisms preserving a probability measure.

引用

页码：113 / 156

页数：44

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