Stable ergodicity and accessibility for certain partially hyperbolic diffeomorphisms with bidimensional center leaves

被引:8
|
作者
Horita, Vanderlei [1 ]
Sambarino, Martin [2 ]
机构
[1] UNESP, IBILCE, Dept Matemat, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
[2] Univ Republica, Fac Ciencias, CMAT, Montevideo 4225, Uruguay
基金
巴西圣保罗研究基金会;
关键词
Accessibility; ergodicity; stable ergodicity; partial hyperbolicity; POINTS; LEMMA;
D O I
10.4171/CMH/417
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider classes of partially hyperbolic diffeomorphism f : M -> M with splitting TM = E-s circle plus E-c circle plus E-u and dim E-c D 2. These classes include for instance (perturbations of) the product of Anosov and conservative surface diffeomorphisms, skew products of surface diffeomorphisms over Anosov, partially hyperbolic symplectomorphisms on manifolds of dimension four with bidimensional center foliation whose center leaves are all compact. We prove that accessibility holds in these classes for C-1 open and C-r dense subsets and moreover they are stably ergodic.
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页码:467 / 512
页数:46
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