Quasi-isometry and Plaque Expansiveness

Canadian mathematical bulletin

Andy Hammerlindl¹ 

[1] Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4

关键词: amenability;    bounded approximate identity;    $cb$-multiplier norm;    Fourier algebra;    norm one idempotent;   

DOI  :  10.4153/CMB-2011-024-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We show that a partially hyperbolic diffeomorphism is plaqueexpansive (a form of structural stability for its center foliation) if thestrong stable and unstable foliations are quasi-isometric in the universalcover. In particular, all partially hyperbolic diffeomorphisms on the 3-torusare plaque expansive.

【 授权许可】

Unknown