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.
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页码：553 / 567
页数：15
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