Zygmund strong foliations |
| |
| Authors: | Foulon Patrick Hasselblatt Boris |
| |
| Affiliation: | (1) Institut de Recherche Mathematique Avancée, UMR 7501 du Centre National De La Recherche Scientifique, 7 Rue René Descartes, 67084 Strasbourg Cedex, France;(2) Department of Mathematics, Tufts University, 02155 Medford, MA, USA |
| |
| Abstract: | We show that for a volume-preserving Anosov flow on a 3-manifold the strong stable and unstable foliations are Zygmund-regular. We also exhibit an obstruction to higher regularity, which admits a direct geometric interpretation. Vanishing of this obstruction implies high smoothness of the joint strong subbundle and that the flow is either a suspension or a contact flow. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
