On two-dimensional surface attractors and repellers on 3-manifolds
| dc.creator | Grines, Viatcheslav | |
| dc.creator | Medvedev, Vladislav | |
| dc.creator | Zhuzhoma, Evgeny | |
| dc.date | 2004-12-16 | |
| dc.date.accessioned | 2026-07-07T12:52:10Z | |
| dc.date.available | 2026-07-07T12:52:10Z | |
| dc.description | We show that if $f: M^3\to M^3$ is an $A$-diffeomorphism with a surface two-dimensional attractor or repeller $\mathcal B$ and $ M^2_ \mathcal B$ is a supporting surface for $ \mathcal B$, then $\mathcal B = M^2_{\mathcal B}$ and there is $k\geq 1$ such that: 1) $M^2_{\mathcal B}$ is a union $M^2_1\cup...\cup M^2_k$ of disjoint tame surfaces such that every $M^2_i$ is homeomorphic to the 2-torus $T^2$. 2) the restriction of $f^k$ to $M^2_i$ $(i\in\{1,...,k\})$ is conjugate to Anosov automorphism of $T^2$. | |
| dc.identifier | https://arxiv.org/abs/math/0412317 | |
| dc.identifier | http://arxiv.org/abs/math/0412317 | |
| dc.identifier | Mathematical Notes 78, 6 (2005) 757-767 | |
| dc.identifier | doi:10.1007/s11006-005-0181-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223214 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D20; 37C70; 37C15 | |
| dc.title | On two-dimensional surface attractors and repellers on 3-manifolds | |
| dc.type | text |