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Hölder exponents of horocycle foliations on surfaces
Published online by Cambridge University Press: 01 October 1999
Abstract
We show that the horocycle foliations on a compact $C^{\infty}$ (or even $C^{\omega}$) surface of non-positive curvature can fail to be Lipschitz, even if the curvature vanishes only along a single closed geodesic. We calculate the Hölder exponents of these foliations at vectors tangent to geodesics along which the curvature vanishes.
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- Research Article
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- 1999 Cambridge University Press
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