LOCAL RIGIDITY OF CERTAIN SOLVABLE GROUP ACTIONS ON TORI

被引：2

作者：

Liu, Qiao ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 02期

关键词：

local rigidity; group action; Anosov diffeomorphism; CONJUGACY;

D O I：

10.3934/dcds.2020269

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a local rigidity property of Z proportional to(lambda) R affine action on tori generated by an irreducible toral automorphism and a linear flow along an eigenspace. Such an action exhibits a weak version of local rigidity, i.e., any smooth perturbations close enough to an affine action is smoothly conjugate to the affine action up to constant time change.

引用

页码：553 / 567

页数：15

共 50 条

[11] Orbit equivalence rigidity for ergodic actions of the mapping class group
Kida, Yoshikata
GEOMETRIAE DEDICATA, 2008, 131 (01) : 99 - 109
[12] Orbit equivalence rigidity for ergodic actions of the mapping class group
Yoshikata Kida
Geometriae Dedicata, 2008, 131 : 99 - 109
[13] Local rigidity of actions of higher rank Abelian groups and Kam method
Damjanovic, D
Katok, A
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 10 : 142 - 154
[14] Local rigidity for actions of Kazhdan groups on noncommutative Lp-spaces
Bekka, Bachir
INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (08)
[15] LOCAL RIGIDITY OF HOMOGENEOUS PARABOLIC ACTIONS: I. A MODEL CASE
Damjanovic, Danijela
Katok, Anatole
JOURNAL OF MODERN DYNAMICS, 2011, 5 (02) : 203 - 235
[16] Local invariants and exceptional divisors of group actions
Renner, Lex E.
JOURNAL OF ALGEBRA, 2016, 446 : 188 - 202
[17] A splitting of local rigidity of Clifford-Klein forms of homogeneous spaces of completely solvable Lie groups
Tanimura, Yoshinori
INTERNATIONAL JOURNAL OF MATHEMATICS, 2021, 32 (08)
[18] Global rigidity of some abelian-by-cyclic group actions on T2
Hurtado, Sebastian
Xue, Jinxin
GEOMETRY & TOPOLOGY, 2021, 25 (06) : 3133 - 3178
[19] Totally nonsymplectic Anosov actions on tori and nilmanifolds
Fisher, David
Kalinin, Boris
Spatzier, Ralf
GEOMETRY & TOPOLOGY, 2011, 15 (01) : 191 - 216
[20] Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method
Vinhage, Kurt
Wang, Zhenqi Jenny
GEOMETRIAE DEDICATA, 2019, 200 (01) : 385 - 439

← 1 2 3 4 5 →