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Codimension one compact center foliations are uniformly compact
Published online by Cambridge University Press: 13 March 2019
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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- © Cambridge University Press, 2019
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