Center-unstable foliations do not have compact leaves

F. Rodriguez Hertz; J. Rodriguez Hertz; R. Ures

doi:10.4310/MRL.2016.v23.n6.a11

Center-unstable foliations do not have compact leaves

F. Rodriguez Hertz, J. Rodriguez Hertz, R. Ures

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

2 Scopus citations

Abstract

For a partially hyperbolic diffeomorphism on a 3-manifold, we show that any invariant foliation tangent to the center-unstable (or center-stable) bundle has no compact leaves.

Original language	English (US)
Pages (from-to)	1819-1832
Number of pages	14
Journal	Mathematical Research Letters
Volume	23
Issue number	6
DOIs	https://doi.org/10.4310/MRL.2016.v23.n6.a11
State	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4310/MRL.2016.v23.n6.a11

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title = "Center-unstable foliations do not have compact leaves",

abstract = "For a partially hyperbolic diffeomorphism on a 3-manifold, we show that any invariant foliation tangent to the center-unstable (or center-stable) bundle has no compact leaves.",

author = "{Rodriguez Hertz}, F. and {Rodriguez Hertz}, J. and R. Ures",

year = "2016",

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T1 - Center-unstable foliations do not have compact leaves

AU - Rodriguez Hertz, F.

AU - Rodriguez Hertz, J.

AU - Ures, R.

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N2 - For a partially hyperbolic diffeomorphism on a 3-manifold, we show that any invariant foliation tangent to the center-unstable (or center-stable) bundle has no compact leaves.

AB - For a partially hyperbolic diffeomorphism on a 3-manifold, we show that any invariant foliation tangent to the center-unstable (or center-stable) bundle has no compact leaves.

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SP - 1819

EP - 1832

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 6

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Center-unstable foliations do not have compact leaves

Abstract

All Science Journal Classification (ASJC) codes

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