Home > Articles > Published articles > Periodic structure of transversal maps on CP^n, HP^n and S^p S^q |
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 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 |
Postprint 7 p, 2.1 MB |