Periodic structure of transversal maps on CP^n, HP^n and S^p S^q
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2013
Abstract:	A C1 map f : M → M is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) being x a fixed point of fm. 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 6= 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.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03679/MTM Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: 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 ; Period ; Transversal map ; Lefschetz zeta function ; Lefschetz number ; Lefschetz number for periodic point ; Sphere ; Complex projective space ; Quaternion projective space
Published in:	Qualitative theory of dynamical systems, Vol. 12 (2013) , p. 417-425, ISSN 1662-3592

DOI: 10.1007/s12346-013-0099-z

Postprint 7 p, 2.1 MB

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