On structure of 3-manifold which allow A-diffeomorphism with two-dimensional surface nonwandering set
V. Z. Grines1, U. A. Levchenko2, V. S. Medvedev3
| Annotation | We consider a class of diffeomorphism satisfying to S.Smale Axiom $A$ given on $3$-manifold $M^3$ on suggestion that nonwandering set of diffeomorphisms consists of connected two-dimensional surface attractor and repellors. We establish that $M^3$ is a locally-trivial foliation under the circle with leaves homeomorphic to the torus. |
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| Keywords | A-diffeomorphism, attractor, repeller, nonwandering set |
1Professor, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; vgrines@yandex.ru.
2Post-graduate student, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ULev4enko@gmail.com.
3Senior staff scientist, Institute of Applied Mathematics, Nizhny Novgorod; medvedev@unn.ac.ru.
Citation: V. Z. Grines, U. A. Levchenko, V. S. Medvedev, "[On structure of 3-manifold which allow A-diffeomorphism with two-dimensional surface nonwandering set]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:2 (2010) 7–13 (In Russian)
