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	Partially hyperbolic diffeomorphisms on Heisenberg nilmanifolds and holonomy maps
	Shi, Yi
	2014
关键词	ANOSOV-FLOWS
英文摘要	In this note we show that all partially hyperbolic automorphisms on a 3-dimensional non-Abelian nilmanifold can be C-1-approximated by structurally stable C-infinity-diffeomorphisms, whose chain recurrent set consists of one attractor and one repeller. In particular, all these partially hyperbolic automorphisms are not robustly transitive. As a corollary, the holonomy maps of the stable and unstable foliations of the approximating diffeomorphisms are twisted quasiperiodically forced circle homeomorphisms, which are transitive but non-minimal and satisfy certain fiberwise regularity properties. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; polarbearsy@gmail.com; 9; 743-747; 352
语种	英语
出处	SCI
出版者	comptes rendus mathematique
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157294]
专题	数学科学学院
推荐引用方式 GB/T 7714	Shi, Yi. Partially hyperbolic diffeomorphisms on Heisenberg nilmanifolds and holonomy maps. 2014-01-01.

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