New partially hyperbolic dynamical systems I
成果类型:
Article
署名作者:
Gogolev, Andrey; Ontaneda, Pedro; Hertz, Federico Rodriguez
署名单位:
State University of New York (SUNY) System; Binghamton University, SUNY; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
刊物名称:
ACTA MATHEMATICA
ISSN/ISSBN:
0001-5962
DOI:
10.1007/s11511-016-0135-3
发表日期:
2015
页码:
363-393
关键词:
摘要:
We propose a new method for constructing partially hyperbolic diffeomorphisms on closed manifolds. As a demonstration of the method we show that there are simply connected closed manifolds that support partially hyperbolic diffeomorphisms. Laying aside many surgery constructions of 3-dimensional Anosov flows, these are the first new examples of manifolds which admit partially hyperbolic diffeomorphisms in the past forty years.
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