Center-unstable foliations do not have compact leaves

2015/01/31 by Federico Rodriguez Hertz, Hertz, Federico Rodriguez, Jana Rodriguez Hertz +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1502.00125

arxiv created 2015/01/31 · arxiv updated 2015/02/03

Abstract

For a partiallyhyperbolic 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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