Stable ergodicity and Anosov flows

Keith Burns; Charles Pugh; Amie Wilkinson

doi:10.1016/S0040-9383(98)00064-0

Stable ergodicity and Anosov flows

Keith Burns^*, Charles Pugh, Amie Wilkinson

^*Corresponding author for this work

Mathematics

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

23 Scopus citations

Abstract

In this note we prove that if M is a 3-manifold and φ_t : M → M is a C², volume-preserving Anosov flow, then the time-1 map φ₁ is stably ergodic if and only if φ_t is not a suspension of an Anosov diffeomorphism.

Original language	English (US)
Pages (from-to)	149-159
Number of pages	11
Journal	Topology
Volume	39
Issue number	1
DOIs	https://doi.org/10.1016/S0040-9383(98)00064-0
State	Published - Jan 2000

ASJC Scopus subject areas

Geometry and Topology

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title = "Stable ergodicity and Anosov flows",

abstract = "In this note we prove that if M is a 3-manifold and φt : M → M is a C2, volume-preserving Anosov flow, then the time-1 map φ1 is stably ergodic if and only if φt is not a suspension of an Anosov diffeomorphism.",

author = "Keith Burns and Charles Pugh and Amie Wilkinson",

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AU - Pugh, Charles

AU - Wilkinson, Amie

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AB - In this note we prove that if M is a 3-manifold and φt : M → M is a C2, volume-preserving Anosov flow, then the time-1 map φ1 is stably ergodic if and only if φt is not a suspension of an Anosov diffeomorphism.

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DO - 10.1016/S0040-9383(98)00064-0

M3 - Article

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SN - 0040-9383

VL - 39

SP - 149

EP - 159

JO - Topology

JF - Topology

IS - 1

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Stable ergodicity and Anosov flows

Abstract

ASJC Scopus subject areas

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