Abstract
Certain families of manifolds which support Anosov flows do not support foliations which both are expanding under a dynamical system and have quasi-isometrically embedded leaves.
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Hammerlindl, A. On expanding foliations. Bull Braz Math Soc, New Series 46, 407–420 (2015). https://doi.org/10.1007/s00574-015-0097-7
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DOI: https://doi.org/10.1007/s00574-015-0097-7