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On a regularity problem occurring in connection with Anosov diffeomorphisms
Authors:Jean-Lin Journé
Institution:(1) Department of Mathematics, Princeton University, Fine Hall, Washington Road, 08544 Princeton, NJ, USA;(2) Present address: 5 Rue des Petits-Champs, F-75001 Paris, France
Abstract:Let phmmat be aC infin-manifold and Fscr s and Fscr u be two Hölder foliations, transverse, and with uniformlyC infin leaves. If a functionf is uniformlyC infin along the leaves of the two foliations, then it isC infin on phmmat. The proof is elementary.
Keywords:
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