The Barycenter Property for Robust and Generic Diffeomorphisms

被引：0
|
作者：
Manseob LEE
机构：
[1] DepartmentofMathematics,MokwonUniversity
来源：
Acta Mathematica Sinica | 2016年 / 32卷 / 08期
关键词：
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
Let f:Md→Md（d≥2） be a diffeomorphism on a compact C∞ manifold on M.If a diffeomorphism f belongs to the C1-interior of the set of all diffeomorphisms having the barycenter property,then f is Ω-stable.Moreover,if a generic diffeomorphism f has the barycenter property,then f is Ω-stable.We also apply our results to volume preserving diffeomorphisms.
引用
收藏
页码：975 / 981
页数：7
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