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

页码：975 / 981

页数：7

共 50 条

[41] Heteroclinic Cycles and Homoclinic Closures for Generic Diffeomorphisms
Shaobo Gan
Lan Wen
Journal of Dynamics and Differential Equations, 2003, 15 (2-3) : 451 - 471
[42] THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS
Lee, Manseob
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 31 (02): : 389 - 394
[43] On Robust Optimal Transport: Computational Complexity and Barycenter Computation
Khang Le
Huy Nguyen
Quang Minh Nguyen
Tung Pham
Hung Bui
Nhat Ho
ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 34 (NEURIPS 2021), 2021, 34
[44] Diffeomorphisms with Lp-shadowing property
Abbas Fakhari
Keonhee Lee
Khosro Tajbakhsh
Acta Mathematica Sinica, English Series, 2011, 27 : 19 - 28
[45] Asymptotic orbital shadowing property for diffeomorphisms
Lee, Manseob
OPEN MATHEMATICS, 2019, 17 : 191 - 201
[46] Diffeomorphisms with the ℳ0-shadowing Property
Xu Zhang
Xin Xing Wu
Acta Mathematica Sinica, English Series, 2019, 35 : 1760 - 1770
[47] Diffeomorphisms with Lp-Shadowing Property
Fakhari, Abbas
Lee, Keonhee
Tajbakhsh, Khosro
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (01) : 19 - 28
[48] DIFFEOMORPHISMS WITH A GENERALIZED LIPSCHITZ SHADOWING PROPERTY
Lee, Manseob
Oh, Jumi
Wen, Xiao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2021, 41 (04) : 1913 - 1927
[49] APPROXIMATION PROPERTY ON ENTROPIES FOR SURFACE DIFFEOMORPHISMS
Wu, Wanlou
Liu, Jiansong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (01) : 223 - 233
[50] PARTIALLY HYPERBOLIC DIFFEOMORPHISMS WITH A TRAPPING PROPERTY
Potrie, Rafael
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (10) : 5037 - 5054

← 1 2 3 4 5 →