Quasi-isometry and plaque expansiveness

Andrew Scott Hammerlindl

doi:10.4153/CMB-2011-024-7

Quasi-isometry and plaque expansiveness

Andrew Scott Hammerlindl

Research output: Contribution to journal › Article › Research › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	676 - 679
Number of pages	4
Journal	Canadian Mathematical Bulletin
Volume	54
Issue number	4
DOIs	https://doi.org/10.4153/CMB-2011-024-7
Publication status	Published - 2011
Externally published	Yes

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10.4153/CMB-2011-024-7

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Cite this

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title = "Quasi-isometry and plaque expansiveness",

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AB - 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.

UR - http://cms.math.ca/cmb/v54/hammerlindlB0286.pdf

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DO - 10.4153/CMB-2011-024-7

M3 - Article

VL - 54

SP - 676

EP - 679

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

IS - 4

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