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arxiv: 1502.00125 · v1 · pith:WSOL2YRNnew · submitted 2015-01-31 · 🧮 math.DS

Center-unstable foliations do not have compact leaves

classification 🧮 math.DS
keywords center-unstablecompactleavesbundlecenter-stablediffeomorphismfoliationfoliations
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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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