Periodic Structure of Transversal Maps on CPn, HPn and Sp × Sq
- Juan Luis García Guirao 1
- Jaume Llibre
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1
Universidad Politécnica de Cartagena
info
ISSN: 1575-5460
Año de publicación: 2013
Volumen: 12
Número: 2
Páginas: 417-425
Tipo: Artículo
Otras publicaciones en: Qualitative theory of dynamical systems
Resumen
A C1 map f : M → M is called transversal if for all m ∈ N the graph of f m intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of f m. Let CPn be the n-dimensional complex projective space, HPn be the n-dimensional quaternion projective space and Sp ×Sq be the product space of the p-dimensional with the q-dimensional spheres, p = q. Then for the cases M equal to CPn, HPn and Sp × Sq we study the set of periods of f by using the Lefschetz numbers for periodic points.
Información de financiación
Acknowledgments The first author was partially supported by MICIIN/FEDER grant number MTM2008-03679/MTM, Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and Junta de Comu-nidades de Castilla-La Mancha, grant number PEII09-0220-0222. The second author was partially supported by MICIIN/FEDER grant number MTM2008-03437, an AGAUR grant number 2009SGR-410, ICREA Academia and FP7-PEOPLE-2012-IRSES-316338.Financiadores
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- 08667/PI/08
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- PEII09-0220-0222
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Seventh Framework Programme
European Union
- 316338
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Agència de Gestió d'Ajuts Universitaris i de Recerca
Spain
- 2009SGR-410
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Institució Catalana de Recerca i Estudis Avançats
Spain
- FP7-PEOPLE-2012-IRSES-316338
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European Regional Development Fund
European Union
- MTM2008-03679/MTM