Periodic structure of transversal maps on sum-free products of spheres

被引：5

作者：

Llibre, Jaume ^{[1
]}

Sirvent, Victor F. ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain

[2] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2019年 / 25卷 / 05期

基金：

欧盟地平线“2020”;

关键词：

Transversal maps; Lefschetz numbers; periodic point; product of spheres; LEFSCHETZ NUMBERS;

D O I：

10.1080/10236198.2019.1606216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular, we give sufficient conditions in order that such maps have infinitely many even and odd periods. Moreover, we also provide sufficient conditions for having non-zero Lefschetz numbers of period m for infinitely many m's. We extend these results to transversal maps on rational exterior spaces of rank 1.

引用

页码：619 / 629

页数：11