Seifert manifolds admitting partially hyperbolic diffeomorphisms

Andrew Scott Hammerlindl; Rafael Potrie; Mario Shannon

doi:10.3934/jmd.2018008

Seifert manifolds admitting partially hyperbolic diffeomorphisms

Andrew Scott Hammerlindl, Rafael Potrie, Mario Shannon

School of Mathematics

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

Abstract

We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

Original language	English
Pages (from-to)	193-222
Number of pages	10
Journal	Journal of Modern Dynamics
Volume	12
DOIs	https://doi.org/10.3934/jmd.2018008
Publication status	Published - Dec 2018

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10.3934/jmd.2018008

Cite this

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title = "Seifert manifolds admitting partially hyperbolic diffeomorphisms",

abstract = "We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.",

author = "Hammerlindl, \{Andrew Scott\} and Rafael Potrie and Mario Shannon",

year = "2018",

month = dec,

doi = "10.3934/jmd.2018008",

language = "English",

volume = "12",

pages = "193--222",

journal = "Journal of Modern Dynamics",

issn = "1930-5311",

publisher = "American Institute of Mathematical Sciences (AIMS)",

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AB - We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a transitive partially hyperbolic diffeomorphism if and only if it admits an Anosov flow.

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DO - 10.3934/jmd.2018008

M3 - Article

SN - 1930-5311

VL - 12

SP - 193

EP - 222

JO - Journal of Modern Dynamics

JF - Journal of Modern Dynamics

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