Smooth Stable Foliations of Anosov Diffeomorphisms

被引：0
|
作者：
Gu, Ruihao [1 ]
机构：
[1] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
来源：
COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷
基金：
中国博士后科学基金;
关键词：
Anosov diffeomorphism; stable foliation; rigidity; DIFFERENTIABILITY; CONJUGACY; RIGIDITY;
D O I：
10.5802/crmath.679
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we focus on the rigidity of C 2 +-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than 2, then they will have the same smoothness of the diffeomorphisms.
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页数：10
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