Abstract
Let ℳ be aC ∞-manifold and ℱ s and ℱ u be two Hölder foliations, transverse, and with uniformlyC ∞ leaves. If a functionf is uniformlyC ∞ along the leaves of the two foliations, then it isC ∞ on ℳ. The proof is elementary.
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Communicated by J. Mather
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Journé, JL. On a regularity problem occurring in connection with Anosov diffeomorphisms. Commun.Math. Phys. 106, 345–351 (1986). https://doi.org/10.1007/BF01454979
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DOI: https://doi.org/10.1007/BF01454979