C^1 self-maps on S^n, S^n S^m, C P^n and H P^n with all their periodic orbits hyperbolic
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
Abstract:	We study in its homological class the periodic structure of the C1 self-maps on the manifolds Sn (the n-dimensional sphere), Sn × Sm (the product space of the n-dimensional with the m-dimensional spheres), CPn (the n-dimensional complex projective space) and HPn (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.
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/Ajudes: Fundación Séneca de la Región de Murcia, grant number 08667/PI/08 and JCCM (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:	Hyperbolic periodic point ; Period ; Lefschetz zeta function ; Lefschetz number ; Sphere ; Complex projective space ; Quaternion projective space
Published in:	Taiwanese Journal of Mathematics, Vol. 16 Núm. 1 (2012) , p. 323-334, ISSN 2224-6851

Postprint 9 p, 2.0 MB

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