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

Jaume Llibre; Víctor F. Sirvent

doi:10.1080/10236198.2019.1606216

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

Jaume Llibre, Víctor F. Sirvent

Department of Mathematics

Research output: Contribution to journal › Article › Research

2 Citations (Scopus)

Abstract

© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. 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.

Original language	English
Pages (from-to)	619-629
Journal	Journal of Difference Equations and Applications
Volume	25
DOIs	https://doi.org/10.1080/10236198.2019.1606216
Publication status	Published - 4 May 2019

Keywords

Lefschetz numbers
periodic point
product of spheres
Transversal maps

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AU - Sirvent, Víctor F.

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N2 - © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. 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.

AB - © 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. 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.

KW - Lefschetz numbers

KW - periodic point

KW - product of spheres

KW - Transversal maps

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DO - 10.1080/10236198.2019.1606216

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JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

SN - 1023-6198

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