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Accessibility and homology bounded strong unstable foliation for Anosov diffeomorphisms on 3-torus |
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| Authors: | Yan Ren Shao Bo Gan Peng Fei Zhang |
| Affiliation: | 1. School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China;2. Department of Mathematics and Statistics, Universityof Massachusetts, Amherst MA 01003, USA, accessible, homology bounded MR(2010) Subject Classification 37C05, 37D30, 57R30 |
| Abstract: | 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. |
| Keywords: | Partially hyperbolic accessible homology bounded |
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