Vector fields satisfying the barycenter property

被引：4

作者：

Lee, Manseob ^{[1
]}

机构：

[1] Mokwon Univ, Dept Math, Daejeon 302729, South Korea

来源：

OPEN MATHEMATICS | 2018年 / 16卷

基金：

新加坡国家研究基金会;

关键词：

Barycenter property; Singular point; Generic; Hyperbolic; Axiom A; Anosov; DIFFEOMORPHISMS; STABILITY; FLOWS; SPECIFICATION; ROBUST; AXIOM;

D O I：

10.1515/math-2018-0040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if a vector field X has the C-1 robustly barycenter property then it does not have singularities and it is Axiom A without cycles. Moreover, if a generic C-1-vector field has the barycenter property then it does not have singularities and it is Axiom A without cycles. Moreover, we apply the results to the divergence free vector fields. It is an extension of the results of the barycenter property for generic diffeomorphisms and volume preserving diffeomorphisms [1].

引用

页码：429 / 436

页数：8

共 20 条

[1] NONUNIFORM HYPERBOLICITY FOR C1-GENERIC DIFFEOMORPHISMS [J].