On a regularity problem occurring in connection with Anosov diffeomorphisms |
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Authors: | Jean-Lin Journé |
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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 |
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Abstract: | Let be aC
-manifold and
s
and
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 . The proof is elementary. |
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Keywords: | |
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