REGULARITY OF THE ANOSOV SPLITTING AND OF HOROSPHERIC FOLIATIONS

被引：71

作者：

HASSELBLATT, B ^{[1
]}

机构：

[1] TUFTS UNIV, DEPT MATH, MEDFORD, MA 02155 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1994年 / 14卷

关键词：

D O I：

10.1017/S0143385700008105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

'Bunching' conditions on an Anosov system guarantee the regularity of the Anosov splitting up to C2-epsilon. Open dense sets of symplectic Anosov systems and geodesic flows do not have Anosov splitting exceeding the asserted regularity. This is the first local construction of low-regularity examples.

引用

页码：645 / 666

页数：22

共 42 条

[1]

Anosov D., 1967, MATH NOTES, V2, P818

[2]

AVEZ A, 1968, TOPOLOGICAL DYNAMICS, P17

[3] AFFINE ANOSOV DIFFEOMORPHISMS WITH STABLE AND UNSTABLE DIFFERENTIABLE FOLIATIONS [J].