On the Topological Classification of Structurally Stable Diffeomorphisms on 3-Manifolds with a 2-Dimensional Expanding Attractor

被引：0

作者：

Grines, V. Z. ^{[1
]}

Kruglov, E., V ^{[2
]}

Pochinka, O., V ^{[1
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Nizhnii Novgorod 603150, Russia

[2] Lobachevsky State Univ Nizhny Novgorod, Nizhnii Novgorod 603022, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 14期

基金：

俄罗斯科学基金会;

关键词：

diffeomorphism; 3-dimensional manifold; expanding attractor; embedding of frames;

D O I：

10.1134/S1995080222020081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to the topological classification of structurally stable diffeomorphisms on three-dimensional manifolds whose non-wandering set contains a 2-dimensional expanding attractor. V.Z. Grines and E.V. Zhuzhoma obtained the topological classification of similar cascades in the dimension greater than 3. They proposed that the embedding of frames of saddle separatrices is tame for dimension equals 3. The tameness of embedding of ones was proved in the paper of V.Z. Grines, E.V. Kruglov, T.V. Medvedev and O.V. Pochinka (2020). This fact allowed to obtain the topological classification of the considering class of diffeomorphisms in dimension 3.

引用

页码：3372 / 3381

页数：10

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