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Codimension one compact center foliations are uniformly compact

  • VERÓNICA DE MARTINO (a1) and SANTIAGO MARTINCHICH (a1)

Abstract

Let $f:M\rightarrow M$ be a dynamically coherent partially hyperbolic diffeomorphism whose center foliation has all its leaves compact. We prove that if the unstable bundle of $f$ is one-dimensional, then the volume of center leaves must be bounded in $M$ .

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Codimension one compact center foliations are uniformly compact

  • VERÓNICA DE MARTINO (a1) and SANTIAGO MARTINCHICH (a1)

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