Periods of Morse-Smale diffeomorphisms on Sn, Sm × Sn, CPn and HPn
We study the set of periods of the Morse-Smale diffeomorphisms on the n-dimensional sphere Sn, on products of two spheres of arbitrary dimension Sm×Sn with m≠n, on the n-dimensional complex projective space CPn and on the n-dimensional quaternion projective space HPn. We classify the minimal sets of...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257097 |
| Acceso en línea: | https://ddd.uab.cat/record/257097 https://dx.doi.org/urn:doi:10.1007/s11784-021-00918-5 |
| Access Level: | acceso abierto |
| Palabra clave: | Morse-Smale diffeomorphisms Periodic orbit Lefschetz zeta function Minimal Lefschetz period |
| Sumario: | We study the set of periods of the Morse-Smale diffeomorphisms on the n-dimensional sphere Sn, on products of two spheres of arbitrary dimension Sm×Sn with m≠n, on the n-dimensional complex projective space CPn and on the n-dimensional quaternion projective space HPn. We classify the minimal sets of Lefschetz periods for such Morse-Smale diffeomorphisms. This characterization is done using the induced maps on the homology. The main tool used is the Lefschetz zeta function. |
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