Accessibility and Homology Bounded Strong Unstable Foliation for Anosov Diffeomorphisms on 3-torus

被引：0

作者：

Yan REN ^{[1
]}

Shao Bo GAN ^{[1
]}

Peng Fei ZHANG ^{[2
]}

机构：

[1] School of Mathematical Sciences, Peking University

[2] Department of Mathematics and Statistics, Universityof

来源：

ActaMathematicaSinica | 2017年 / 33卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

摘要：

We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus with a partially hyperbolic splitting. Since accessibility is an open property, this gives a negative answer to Hammerlindl's question about homology boundedness of strong unstable foliation.

引用

页码：71 / 76

页数：6

共 7 条

[1] Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus
Ren, Yan
Gan, Shao Bo
Zhang, Peng Fei
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (01) : 71 - 76
[2] Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus
Yan Ren
Shao Bo Gan
Peng Fei Zhang
Acta Mathematica Sinica, English Series, 2017, 33 : 71 - 76
[3] Accessibility and Homology Bounded Strong Unstable Foliation for Anosov Diffeomorphisms on 3-torus
Yan REN
Shao Bo GAN
Peng Fei ZHANG
Acta Mathematica Sinica,English Series, 2017, (01) : 71 - 76
[4] RIGIDITY OF CENTER LYAPUNOV EXPONENTS FOR ANOSOV DIFFEOMORPHISMS ON 3-TORUS
Yu, Daohua
Gu, Ruihao
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (03) : 1019 - 1030
[5] Bootstrap for Local Rigidity of Anosov Automorphisms on the 3-Torus
Gogolev, Andrey
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017, 352 (02) : 439 - 455
[6] Bootstrap for Local Rigidity of Anosov Automorphisms on the 3-Torus
Andrey Gogolev
Communications in Mathematical Physics, 2017, 352 : 439 - 455
[7] DYNAMICAL COHERENCE OF PARTIALLY HYPERBOLIC DIFFEOMORPHISMS OF THE 3-TORUS
Brin, Michael
Burago, Dmitri
Ivanov, Sergey
JOURNAL OF MODERN DYNAMICS, 2009, 3 (01) : 1 - 11

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