| Institution: | Department of Mathematics, Agriculture Academy of Nizhny Novgorod, 97 Gagarin Ave, Nizhny Novgorod, 603107 Russia E. Zhuzhoma ; Department of Applied Mathematics, Nizhny Novgorod State Technical University, 24 Minina Str., Nizhny Novgorod, 603600 Russia |
| Abstract: | We show that if a closed  -manifold   admits a structurally stable diffeomorphism  with an orientable expanding attractor  of codimension one, then  is homotopy equivalent to the  -torus  and is homeomorphic to  for  . Moreover, there are no nontrivial basic sets of  different from  . This allows us to classify, up to conjugacy, structurally stable diffeomorphisms having codimension one orientable expanding attractors and contracting repellers on  ,  . |
