Quasi-isometry and Plaque Expansiveness
Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 676-679
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We show that a partially hyperbolic diffeomorphism is plaque expansive (a form of structural stability for its center foliation) if the strong stable and unstable foliations are quasi-isometric in the universal cover. In particular, all partially hyperbolic diffeomorphisms on the 3-torus are plaque expansive.
Hammerlindl, Andy. Quasi-isometry and Plaque Expansiveness. Canadian mathematical bulletin, Tome 54 (2011) no. 4, pp. 676-679. doi: 10.4153/CMB-2011-024-7
@article{10_4153_CMB_2011_024_7,
author = {Hammerlindl, Andy},
title = {Quasi-isometry and {Plaque} {Expansiveness}},
journal = {Canadian mathematical bulletin},
pages = {676--679},
year = {2011},
volume = {54},
number = {4},
doi = {10.4153/CMB-2011-024-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-024-7/}
}
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