Rigidity of hyperbolic sets on surfaces

被引：8

作者：

Pinto, AA ^{[1
]}

Rand, DA

机构：

[1] Univ Porto, Fac Ciencias, P-4000 Oporto, Portugal

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2005年 / 71卷

关键词：

D O I：

10.1112/S0024610704006052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a hyperbolic invariant set of a diffeomorphism on a surface, it is proved that, if the holonomies are sufficiently smooth, then the diffeomorphism on the hyperbolic invariant set is rigid in the sense that it is C1+ conjugate to a hyperbolic affine model.

引用

页码：481 / 502

页数：22

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