A stable/unstable 'manifold' theorem for area preserving homeomorphisms of two manifolds
| Autor: | Stewart Baldwin, Edward E. Slaminka |
|---|---|
| Rok vydání: | 1990 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Closed manifold Applied Mathematics General Mathematics Invariant manifold Mathematical analysis Stable manifold theorem Mathematics::Geometric Topology Stable manifold Manifold Homoclinic connection Mathematics::Differential Geometry Homoclinic orbit Mathematics::Symplectic Geometry Center manifold Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 109:823-828 |
| ISSN: | 1088-6826 0002-9939 |
| Popis: | The stable/unstable manifold theorem for hyperbolic diffeomorphisms has proven to be of extreme importance in differentiable dynamics. We prove a stable/unstable "manifold" theorem for area preserving homeomorphisms of orientable two manifolds having isolated fixed points of index less than 1. The proof relies upon the concept of free modification which was first developed by Morton Brown for homeomorphisms of two manifolds and later extended by Pelikan and Slaminka for area preserving homeomorphisms of two manifolds. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|