Periodic structure of transversal maps on sum-free products of spheres
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Sirvent, Víctor F. (Universidad Simón Bolívar. Departamento de Matemáticas (Venezuela))

Date:	2019
Abstract:	In this article we study the periodic structure of transversal maps on the product of spheres of different dimensions. In particular we give conditions for the maps to have infinitely many even and odd periods. Moreover we give conditions for having non-zero Lefschetz numbers of period m, for infinitely many m's. We generalize the results for transversal maps on rational exterior spaces of rank 1.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Transversal maps ; Lefschetz numbers ; Periodic point ; Product of spheres
Published in:	Journal of Difference Equations and Applications, Vol. 25, Issue 5 (April 2019) , p. 619-629, ISSN 1563-5120

DOI: 10.1080/10236198.2019.1606216

Postprint 11 p, 325.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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