C^1 self-maps on S^n, S^n S^m, C P^n and H P^n with all their periodic orbits hyperbolic
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 project...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150553 |
| Acceso en línea: | https://ddd.uab.cat/record/150553 |
| Access Level: | acceso abierto |
| Palabra clave: | Hyperbolic periodic point Period Lefschetz zeta function Lefschetz number Sphere Complex projective space Quaternion projective space |
| Sumario: | 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. |
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