Citation
M. Gerber et V. Nitica, Holder exponents of horocycle foliations on surfaces, ERGOD TH DY, 19, 1999, pp. 1247-1254
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857
→ ACNP
Volume
19
Year of publication
1999
Part
5
Pages
1247 - 1254
Database
ISI
SICI code
0143-3857(199910)19:<1247:HEOHFO>2.0.ZU;2-J
Abstract
We show that the horocycle foliations on a compact C-infinity (or even C-om
ega) surface of non-positive curvature can fail to be Lipschitz, even if th
e curvature vanishes only along a single closed geodesic. We calculate the
Holder exponents of these foliations at vectors tangent to geodesics along
which the curvature vanishes.