Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus

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• 作者：Yan Ren ; Shao Bo Gan ; Peng Fei Zhang
• 关键词：Partially hyperbolic ; accessible ; homology bounded
• 刊名：Acta Mathematica Sinica, English Series
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：33
• 期：1
• 页码：71-76
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
• ISSN：1439-7617
• 卷排序：33

文摘

We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus with a partially hyperbolic splitting. Since accessibility is an open property, this gives a negative answer to Hammerlindl’s question about homology boundedness of strong unstable foliation.