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

5 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

Access to Document

10.4153/CMB-2011-024-7

Cite this

@article{7117431912644adbbd824c11af5df763,

title = "Quasi-isometry and plaque expansiveness",

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.",

author = "Hammerlindl, {Andrew Scott}",

year = "2011",

doi = "10.4153/CMB-2011-024-7",

language = "English",

volume = "54",

pages = "676 -- 679",

journal = "Canadian Mathematical Bulletin",

issn = "0008-4395",

publisher = "Canadian Mathematical Society",

number = "4",

}

TY - JOUR

T1 - Quasi-isometry and plaque expansiveness

AU - Hammerlindl, Andrew Scott

PY - 2011

Y1 - 2011

N2 - 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.

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

U2 - 10.4153/CMB-2011-024-7

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

ER -

Quasi-isometry and plaque expansiveness

Abstract

Access to Document

Other files and links

Cite this