Differentiable rigidity for hyperbolic toral actions

被引:0
作者
Manfred Einsiedler
Travis Fisher
机构
[1] Princeton University,Department of Mathematics
[2] Pennsylvania State University,Department of Mathematics
来源
Israel Journal of Mathematics | 2007年 / 157卷
关键词
Spectral Radius; Periodic Point; Unstable Manifold; Zero Section; Common Eigenvector;
D O I
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中图分类号
学科分类号
摘要
Our aim is to extend existing results about differentiable rigidity of higher rank abelian actions by automorphisms of a torus. Previous proofs have required an assumption of semisimplicity, that is, that the action is by commuting diagonalizable matrices. Here we introduce a technique that utilizes the unipotent part of a non-semisimple action, which allows us to discard the semisimplicity assumption. In its place we will make a technical assumption that the spectrum of the action restricted to leaves of the coarse Lyapunov decomposition is sufficiently narrow.
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页码:347 / 377
页数:30
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