تقرير
Quasi-Anosov diffeomorphisms of 3-manifolds
| العنوان: | Quasi-Anosov diffeomorphisms of 3-manifolds |
|---|---|
| المؤلفون: | Fisher, Todd, Hertz, M Alejandra Rodriguez |
| سنة النشر: | 2007 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37D05, 37D20 |
| الوصف: | In 1969, Hirsch posed the following problem: given a diffeomorphism, and a compact invariant hyperbolic set, describe its topology and restricted dynamics. We solve the problem where the hyperbolic invariant set is a closed 3-manifold: if the manifold is orientable, then it is a connected sum of tori and handles; otherwise it is a connected sum of tori and handles quotiented by involutions. The dynamics of the diffeomorphisms restricted to these manifolds, called quasi-Anosov diffeomorphisms, is also classified: it is the connected sum of DA-diffeomorphisms, quotiented by commuting involutions. Comment: 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0709.0072 |
| رقم الأكسشن: | edsarx.0709.0072 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |