On the Lefschetz periodic point free continuous self-maps on connected compact manifolds
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2011
Abstract:	We characterize the Lefschetz periodic point free self-continuous maps on the following connected compact manifolds: CPn the n-dimensional complex projective space, HPn the n-dimensional quaternion projective space, Sn the n-dimensional sphere and Sp ×Sq the product space of the p-dimensional with the q-dimensional spheres.
Grants:	Ministerio de Economía y Competitividad MTM2008-03679 Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The first author was partially supported by Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and Junta de Comunidades de Castilla-La Mancha, grant number PEII09-0220-0222.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Periodic point free ; Lefschetz zeta function ; Lefschetz number ; Complex projective space ; Quaternion projective space ; Sphere ; Product of spheres
Published in:	Topology and its applications, Vol. 158 (2011) , p. 2165-2169, ISSN 0166-8641

DOI: 10.1016/j.topol.2011.07.007

Postprint 9 p, 1.9 MB

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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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